latticetheory.github.io

Ralph Freese

Ralph Freese

This is not Ralph Freese’s official homepage. The official page is at math.hawaii.edu/~ralph.

Ralph Freese is Professor and Chair of the Mathematics Department at the University of Hawaii. He is also the primary architecht and developer of the Universal Algebra Calculator which is found at uacalc.org.

As of May 2018, MathSciNet has reviewed 64 publications by Ralph Freese. The file Freese.bib contains the BibTeX data for all of these works.

Bibliographic Data

Total Publications 64
Total Citations 523
Earliest Indexed Publication 1972
MR Author ID 194830

Coauthors

  1. Adams, Michael E.
  2. Clark, David M.
  3. Czédli, Gábor
  4. Davey, Brian A.
  5. Day, Alan
  6. Dilworth, Robert Palmer
  7. Grätzer, George
  8. Herrmann, Christian
  9. Huhn, András P.
  10. Hyndman, Jennifer
  11. Jackson, Marcel G.
  12. Ježek, Jaroslav
  13. Jipsen, Peter
  14. Johnson, Charles R.
  15. Jónsson, Bjarni
  16. Kearnes, Keith A.
  17. Lampe, William A.
  18. Marković, Petar
  19. Maróti, Miklós
  20. McKenzie, Ralph N.
  21. McNulty, George F.
  22. Nation, James B.
  23. Pickering, Douglas A.
  24. Roddy, Micheale S.
  25. Romanowska, Anna B.
  26. Schmid, Jürg
  27. Schmidt, E. Tamás
  28. Slavík, Václav
  29. Taylor, Walter
  30. Valeriote, Matthew

BibTeX Entries

@article {MR3602782,
    AUTHOR = {Freese, Ralph and McKenzie, Ralph},
     TITLE = {Maltsev families of varieties closed under join or {M}altsev
              product},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {77},
      YEAR = {2017},
    NUMBER = {1},
     PAGES = {29--50},
      ISSN = {0002-5240},
   MRCLASS = {08B05 (08B10 08B25)},
  MRNUMBER = {3602782},
MRREVIEWER = {Joel Berman},
       DOI = {10.1007/s00012-016-0420-1},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/s00012-016-0420-1},
}

@incollection {MR3645048,
    AUTHOR = {Freese, R. and Nation, J. B.},
     TITLE = {Free and finitely presented lattices},
 BOOKTITLE = {Lattice theory: special topics and applications. {V}ol. 2},
     PAGES = {27--58},
 PUBLISHER = {Birkh\"auser/Springer, Cham},
      YEAR = {2016},
   MRCLASS = {06B25 (03B25 03D40 08A50)},
  MRNUMBER = {3645048},
MRREVIEWER = {Joel Berman},
}

@article {MR3353951,
    AUTHOR = {Freese, Ralph and Nation, J. B.},
     TITLE = {Projective ordinal sums of lattices and isotone sections},
   JOURNAL = {Order},
  FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its
              Applications},
    VOLUME = {32},
      YEAR = {2015},
    NUMBER = {2},
     PAGES = {245--254},
      ISSN = {0167-8094},
   MRCLASS = {06B25 (06B05)},
  MRNUMBER = {3353951},
MRREVIEWER = {R. Piziak},
       DOI = {10.1007/s11083-014-9329-5},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/s11083-014-9329-5},
}

@article {MR3127978,
    AUTHOR = {Freese, Ralph},
     TITLE = {Equations implying congruence {$n$}-permutability and
              semidistributivity},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {70},
      YEAR = {2013},
    NUMBER = {4},
     PAGES = {347--357},
      ISSN = {0002-5240},
   MRCLASS = {08B05 (08B10)},
  MRNUMBER = {3127978},
MRREVIEWER = {Keith A. Kearnes},
       DOI = {10.1007/s00012-013-0256-x},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/s00012-013-0256-x},
}

@article {MR2494469,
    AUTHOR = {Freese, Ralph and Valeriote, Matthew A.},
     TITLE = {On the complexity of some {M}altsev conditions},
   JOURNAL = {Internat. J. Algebra Comput.},
  FJOURNAL = {International Journal of Algebra and Computation},
    VOLUME = {19},
      YEAR = {2009},
    NUMBER = {1},
     PAGES = {41--77},
      ISSN = {0218-1967},
   MRCLASS = {08B05 (03C05 08B10 68Q25)},
  MRNUMBER = {2494469},
MRREVIEWER = {Clifford H. Bergman},
       DOI = {10.1142/S0218196709004956},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1142/S0218196709004956},
}

@article {MR2470585,
    AUTHOR = {Freese, Ralph},
     TITLE = {Computing congruences efficiently},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {59},
      YEAR = {2008},
    NUMBER = {3-4},
     PAGES = {337--343},
      ISSN = {0002-5240},
   MRCLASS = {08A30 (08A40 68W30 68W40)},
  MRNUMBER = {2470585},
MRREVIEWER = {Clifford H. Bergman},
       DOI = {10.1007/s00012-008-2073-1},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/s00012-008-2073-1},
}

@article {MR2280221,
    AUTHOR = {Freese, Ralph and McNulty, George and Nation, J. B.},
     TITLE = {A modular inherently nonfinitely based lattice},
      NOTE = {Special issue dedicated to Walter Taylor},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {55},
      YEAR = {2006},
    NUMBER = {2-3},
     PAGES = {119--125},
      ISSN = {0002-5240},
   MRCLASS = {06B25 (06B05)},
  MRNUMBER = {2280221},
MRREVIEWER = {Jaroslav Je\v zek},
       DOI = {10.1007/s00012-006-1986-9},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/s00012-006-1986-9},
}

@article {MR2161658,
    AUTHOR = {Clark, David M. and Davey, Brian A. and Freese, Ralph S. and
              Jackson, Marcel},
     TITLE = {Standard topological algebras: syntactic and principal
              congruences and profiniteness},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {52},
      YEAR = {2004},
    NUMBER = {2-3},
     PAGES = {343--376},
      ISSN = {0002-5240},
   MRCLASS = {08C15 (06B30 54H11 54H12)},
  MRNUMBER = {2161658},
MRREVIEWER = {Timothy Stokes},
       DOI = {10.1007/s00012-004-1917-6},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/s00012-004-1917-6},
}
		
@article {MR2064046,
    AUTHOR = {Freese, Ralph and Hyndman, Jennifer and Nation, J. B.},
     TITLE = {Whaley's theorem for finite lattices},
   JOURNAL = {Order},
  FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its
              Applications},
    VOLUME = {20},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {223--228 (2004)},
      ISSN = {0167-8094},
   MRCLASS = {06B05},
  MRNUMBER = {2064046},
       DOI = {10.1023/B:ORDE.0000026464.36426.09},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1023/B:ORDE.0000026464.36426.09},
}
		
@article {MR1916610,
    AUTHOR = {Freese, R. and Je\v zek, J. and Jipsen, P. and Markovi\'c, P. and
              Mar\'oti, M. and McKenzie, R.},
     TITLE = {The variety generated by order algebras},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {47},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {103--138},
      ISSN = {0002-5240},
   MRCLASS = {08A05 (06A11 08B15)},
  MRNUMBER = {1916610},
MRREVIEWER = {Manuel Abad},
       DOI = {10.1007/s00012-002-8178-z},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/s00012-002-8178-z},
}
		
@article {MR1897025,
    AUTHOR = {Freese, Ralph and McNulty, George F. and Nation, J. B.},
     TITLE = {Inherently nonfinitely based lattices},
   JOURNAL = {Ann. Pure Appl. Logic},
  FJOURNAL = {Annals of Pure and Applied Logic},
    VOLUME = {115},
      YEAR = {2002},
    NUMBER = {1-3},
     PAGES = {175--193},
      ISSN = {0168-0072},
   MRCLASS = {06B20 (03C05)},
  MRNUMBER = {1897025},
MRREVIEWER = {Manuel Abad},
       DOI = {10.1016/S0168-0072(01)00089-6},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1016/S0168-0072(01)00089-6},
}
		
@article {MR1810550,
    AUTHOR = {Freese, Ralph and Je\v zek, Jaroslav and Nation, J. B.},
     TITLE = {Lattices with large minimal extensions},
      NOTE = {Conference on Lattices and Universal Algebra (Szeged, 1998)},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {45},
      YEAR = {2001},
    NUMBER = {2-3},
     PAGES = {221--309},
      ISSN = {0002-5240},
   MRCLASS = {06B05},
  MRNUMBER = {1810550},
MRREVIEWER = {S. Comer},
}
		
@article {MR1456593,
    AUTHOR = {Adams, M. E. and Freese, Ralph and Nation, J. B. and Schmid,
              J\"urg},
     TITLE = {Maximal sublattices and {F}rattini sublattices of bounded
              lattices},
   JOURNAL = {J. Austral. Math. Soc. Ser. A},
  FJOURNAL = {Australian Mathematical Society. Journal. Series A. Pure
              Mathematics and Statistics},
    VOLUME = {63},
      YEAR = {1997},
    NUMBER = {1},
     PAGES = {110--127},
      ISSN = {0263-6115},
   MRCLASS = {06B05 (06B20)},
  MRNUMBER = {1456593},
MRREVIEWER = {Jaroslav Je\v zek},
}
		
@article {MR1451802,
    AUTHOR = {Freese, Ralph},
     TITLE = {Computing congruence lattices of finite lattices},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {125},
      YEAR = {1997},
    NUMBER = {12},
     PAGES = {3457--3463},
      ISSN = {0002-9939},
   MRCLASS = {06B10 (06B05 06B15)},
  MRNUMBER = {1451802},
MRREVIEWER = {Hartmut H\"oft},
       DOI = {10.1090/S0002-9939-97-04332-3},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1090/S0002-9939-97-04332-3},
}
		
@incollection {MR1366865,
    AUTHOR = {Freese, Ralph and Kearnes, Keith and Nation, J. B.},
     TITLE = {Congruence lattices of congruence semidistributive algebras},
 BOOKTITLE = {Lattice theory and its applications ({D}armstadt, 1991)},
    SERIES = {Res. Exp. Math.},
    VOLUME = {23},
     PAGES = {63--78},
 PUBLISHER = {Heldermann, Lemgo},
      YEAR = {1995},
   MRCLASS = {08B10 (06B10)},
  MRNUMBER = {1366865},
MRREVIEWER = {Manfred Armbrust},
}
		
@incollection {MR1366864,
    AUTHOR = {Freese, Ralph},
     TITLE = {New results on free lattices},
 BOOKTITLE = {Lattice theory and its applications ({D}armstadt, 1991)},
    SERIES = {Res. Exp. Math.},
    VOLUME = {23},
     PAGES = {51--61},
 PUBLISHER = {Heldermann, Lemgo},
      YEAR = {1995},
   MRCLASS = {06B25},
  MRNUMBER = {1366864},
MRREVIEWER = {Joel Berman},
       DOI = {10.1090/surv/042},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1090/surv/042},
}
		
@article {MR1344951,
    AUTHOR = {Freese, R.},
     TITLE = {Alan {D}ay's early work: congruence identities},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {34},
      YEAR = {1995},
    NUMBER = {1},
     PAGES = {4--23},
      ISSN = {0002-5240},
   MRCLASS = {01A70 (06B10 08A30 08B10)},
  MRNUMBER = {1344951},
MRREVIEWER = {H. Peter Gumm},
       DOI = {10.1007/BF01200487},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF01200487},
}
		
@book {MR1319815,
    AUTHOR = {Freese, Ralph and Je\v zek, Jaroslav and Nation, J. B.},
     TITLE = {Free lattices},
    SERIES = {Mathematical Surveys and Monographs},
    VOLUME = {42},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {1995},
     PAGES = {viii+293},
      ISBN = {0-8218-0389-1},
   MRCLASS = {06B25 (06-02 06-04 06B20 68Q25)},
  MRNUMBER = {1319815},
MRREVIEWER = {T. S. Blyth},
       DOI = {10.1090/surv/042},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1090/surv/042},
}
		
@article {MR1287018,
    AUTHOR = {Freese, R.},
     TITLE = {Finitely based modular congruence varieties are distributive},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {32},
      YEAR = {1994},
    NUMBER = {1},
     PAGES = {104--114},
      ISSN = {0002-5240},
   MRCLASS = {06B20 (06C05 08B15)},
  MRNUMBER = {1287018},
MRREVIEWER = {Sheila Oates-Williams},
       DOI = {10.1007/BF01190818},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF01190818},
}
		
@article {MR1265353,
    AUTHOR = {Freese, Ralph},
     TITLE = {Directions in lattice theory},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {31},
      YEAR = {1994},
    NUMBER = {3},
     PAGES = {416--429},
      ISSN = {0002-5240},
   MRCLASS = {06B25 (06C05)},
  MRNUMBER = {1265353},
MRREVIEWER = {E. T. Schmidt},
       DOI = {10.1007/BF01221796},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF01221796},
}
		
@article {MR1259675,
    AUTHOR = {Freese, Ralph and Je\v zek, J. and Nation, J. B.},
     TITLE = {Term rewrite systems for lattice theory},
   JOURNAL = {J. Symbolic Comput.},
  FJOURNAL = {Journal of Symbolic Computation},
    VOLUME = {16},
      YEAR = {1993},
    NUMBER = {3},
     PAGES = {279--288},
      ISSN = {0747-7171},
   MRCLASS = {68Q42 (03C05 06-04)},
  MRNUMBER = {1259675},
       DOI = {10.1006/jsco.1993.1046},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1006/jsco.1993.1046},
}
		
@incollection {MR1233792,
    AUTHOR = {Freese, Ralph},
     TITLE = {Lectures on free lattices},
 BOOKTITLE = {Algebras and orders ({M}ontreal, {PQ}, 1991)},
    SERIES = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.},
    VOLUME = {389},
     PAGES = {199--237},
 PUBLISHER = {Kluwer Acad. Publ., Dordrecht},
      YEAR = {1993},
   MRCLASS = {06B25 (08B20)},
  MRNUMBER = {1233792},
MRREVIEWER = {Joel Berman},
}
		
@inproceedings {MR1175874,
    AUTHOR = {Freese, Ralph},
     TITLE = {Free and finitely presented lattices},
 BOOKTITLE = {Proceedings of the {I}nternational {C}onference on {A}lgebra,
              {P}art 3 ({N}ovosibirsk, 1989)},
    SERIES = {Contemp. Math.},
    VOLUME = {131},
     PAGES = {85--97},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1992},
   MRCLASS = {06B25 (06-02 06B20)},
  MRNUMBER = {1175874},
MRREVIEWER = {Joel Berman},
}
		
@article {MR1173137,
    AUTHOR = {Freese, Ralph and Pickering, Douglas and Roddy, Michael},
     TITLE = {Obituary: {R}. {A}lan {D}ay},
   JOURNAL = {Order},
  FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its
              Applications},
    VOLUME = {8},
      YEAR = {1991/92},
    NUMBER = {4},
     PAGES = {319--324},
      ISSN = {0167-8094},
   MRCLASS = {01A70},
  MRNUMBER = {1173137},
       DOI = {10.1007/BF00571181},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF00571181},
}
		
@article {MR1128008,
    AUTHOR = {Freese, R. and Gr\"atzer, G. and Schmidt, E. T.},
     TITLE = {On complete congruence lattices of complete modular lattices},
   JOURNAL = {Internat. J. Algebra Comput.},
  FJOURNAL = {International Journal of Algebra and Computation},
    VOLUME = {1},
      YEAR = {1991},
    NUMBER = {2},
     PAGES = {147--160},
      ISSN = {0218-1967},
   MRCLASS = {06A23 (06B10 06C05)},
  MRNUMBER = {1128008},
MRREVIEWER = {George Hutchinson},
       DOI = {10.1142/S0218196791000080},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1142/S0218196791000080},
}
		
@incollection {MR1111499,
    AUTHOR = {Day, Alan and Freese, Ralph},
     TITLE = {The role of gluing constructions in modular lattice theory},
 BOOKTITLE = {The {D}ilworth theorems},
    SERIES = {Contemp. Mathematicians},
     PAGES = {251--260},
 PUBLISHER = {Birkh\"auser Boston, Boston, MA},
      YEAR = {1990},
   MRCLASS = {06C05},
  MRNUMBER = {1111499},
}
		
@incollection {MR1085067,
    AUTHOR = {Freese, Ralph},
     TITLE = {Finitely presented lattices: continuity and
              semidistributivity},
 BOOKTITLE = {Lattices, semigroups, and universal algebra ({L}isbon, 1988)},
     PAGES = {67--70},
 PUBLISHER = {Plenum, New York},
      YEAR = {1990},
   MRCLASS = {06B05},
  MRNUMBER = {1085067},
}
		
@article {MR1025836,
    AUTHOR = {Freese, Ralph},
     TITLE = {On the two kinds of probability in algebra},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {27},
      YEAR = {1990},
    NUMBER = {1},
     PAGES = {70--79},
      ISSN = {0002-5240},
   MRCLASS = {03C13 (08C99)},
  MRNUMBER = {1025836},
MRREVIEWER = {M. A. Ta\u\i tslin},
       DOI = {10.1007/BF01190254},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF01190254},
}
		
@article {MR949899,
    AUTHOR = {Freese, Ralph},
     TITLE = {Finitely presented lattices: canonical forms and the covering
              relation},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {312},
      YEAR = {1989},
    NUMBER = {2},
     PAGES = {841--860},
      ISSN = {0002-9947},
   MRCLASS = {06B25},
  MRNUMBER = {949899},
MRREVIEWER = {M. E. Adams},
       DOI = {10.2307/2001013},
       URL = {https://doi-org.colorado.idm.oclc.org/10.2307/2001013},
}
		
@article {MR911558,
    AUTHOR = {Freese, Ralph},
     TITLE = {A decomposition theorem for modular lattices containing an
              {$n$}-diamond},
   JOURNAL = {Acta Sci. Math. (Szeged)},
  FJOURNAL = {Acta Universitatis Szegediensis. Acta Scientiarum
              Mathematicarum},
    VOLUME = {51},
      YEAR = {1987},
    NUMBER = {1-2},
     PAGES = {57--71},
      ISSN = {0001-6969},
   MRCLASS = {06C05},
  MRNUMBER = {911558},
MRREVIEWER = {Christian Herrmann},
}
		
@book {MR909290,
    AUTHOR = {Freese, Ralph and McKenzie, Ralph},
     TITLE = {Commutator theory for congruence modular varieties},
    SERIES = {London Mathematical Society Lecture Note Series},
    VOLUME = {125},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1987},
     PAGES = {iv+227},
      ISBN = {0-521-34832-3},
   MRCLASS = {08B10},
  MRNUMBER = {909290},
MRREVIEWER = {Sheila Oates-Williams},
}
		
@article {MR891380,
    AUTHOR = {Freese, Ralph},
     TITLE = {Free lattice algorithms},
   JOURNAL = {Order},
  FJOURNAL = {Order},
    VOLUME = {3},
      YEAR = {1987},
    NUMBER = {4},
     PAGES = {331--344},
      ISSN = {0167-8094},
   MRCLASS = {06B25 (06-04 08A50 68Q40)},
  MRNUMBER = {891380},
MRREVIEWER = {Joel Berman},
       DOI = {10.1007/BF00340775},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF00340775},
}
		
@article {MR850396,
    AUTHOR = {Freese, Ralph and Nation, J. B. and Je\v zek, J. and Slav\'\i k, V.},
     TITLE = {Singular covers in free lattices},
   JOURNAL = {Order},
  FJOURNAL = {Order},
    VOLUME = {3},
      YEAR = {1986},
    NUMBER = {1},
     PAGES = {39--46},
      ISSN = {0167-8094},
   MRCLASS = {06B25},
  MRNUMBER = {850396},
MRREVIEWER = {E. T. Schmidt},
       DOI = {10.1007/BF00403408},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF00403408},
}
		
@incollection {MR823007,
    AUTHOR = {Freese, Ralph},
     TITLE = {Connected components of the covering relation in free
              lattices},
 BOOKTITLE = {Universal algebra and lattice theory ({C}harleston, {S}.{C}.,
              1984)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1149},
     PAGES = {82--93},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1985},
   MRCLASS = {06B25},
  MRNUMBER = {823007},
MRREVIEWER = {M. E. Adams},
       DOI = {10.1007/BFb0098456},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BFb0098456},
}
		
@article {MR773044,
    AUTHOR = {Freese, Ralph and Nation, J. B.},
     TITLE = {Covers in free lattices},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {288},
      YEAR = {1985},
    NUMBER = {1},
     PAGES = {1--42},
      ISSN = {0002-9947},
   MRCLASS = {06B25},
  MRNUMBER = {773044},
MRREVIEWER = {Joel Berman},
       DOI = {10.2307/2000423},
       URL = {https://doi-org.colorado.idm.oclc.org/10.2307/2000423},
}
		
@article {MR743457,
    AUTHOR = {Freese, Ralph},
     TITLE = {On {J}\'onsson's theorem},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {18},
      YEAR = {1984},
    NUMBER = {1},
     PAGES = {70--76},
      ISSN = {0002-5240},
   MRCLASS = {08B10 (06C05)},
  MRNUMBER = {743457},
MRREVIEWER = {H. Peter Gumm},
       DOI = {10.1007/BF01182248},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF01182248},
}
		
@article {MR726275,
    AUTHOR = {Cz\'edli, G\'abor and Freese, Ralph},
     TITLE = {On congruence distributivity and modularity},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {17},
      YEAR = {1983},
    NUMBER = {2},
     PAGES = {216--219},
      ISSN = {0002-5240},
   MRCLASS = {08B10 (03D40)},
  MRNUMBER = {726275},
MRREVIEWER = {H. Peter Gumm},
       DOI = {10.1007/BF01194531},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF01194531},
}
		
@incollection {MR716179,
    AUTHOR = {Freese, Ralph},
     TITLE = {Subdirectly irreducible algebras in modular varieties},
 BOOKTITLE = {Universal algebra and lattice theory ({P}uebla, 1982)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1004},
     PAGES = {142--152},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1983},
   MRCLASS = {08B10},
  MRNUMBER = {716179},
MRREVIEWER = {H. Peter Gumm},
       DOI = {10.1007/BFb0063434},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BFb0063434},
}
		
@incollection {MR661300,
    AUTHOR = {Freese, Ralph},
     TITLE = {Some order-theoretic questions about free modular lattices},
 BOOKTITLE = {Ordered sets ({B}anff, {A}lta., 1981)},
    SERIES = {NATO Adv. Study Inst. Ser. C: Math. Phys. Sci.},
    VOLUME = {83},
     PAGES = {355--377},
 PUBLISHER = {Reidel, Dordrecht-Boston, Mass.},
      YEAR = {1982},
   MRCLASS = {06B25 (06C05)},
  MRNUMBER = {661300},
MRREVIEWER = {T. S. Blyth},
}
		
@article {MR624298,
    AUTHOR = {Freese, Ralph and Herrmann, Christian and Huhn, Andr\'as P.},
     TITLE = {On some identities valid in modular congruence varieties},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {12},
      YEAR = {1981},
    NUMBER = {3},
     PAGES = {322--334},
      ISSN = {0002-5240},
   MRCLASS = {08B10},
  MRNUMBER = {624298},
MRREVIEWER = {George Hutchinson},
       DOI = {10.1007/BF02483892},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF02483892},
}
		
@article {MR603772,
    AUTHOR = {Freese, Ralph and McKenzie, Ralph},
     TITLE = {Residually small varieties with modular congruence lattices},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {264},
      YEAR = {1981},
    NUMBER = {2},
     PAGES = {419--430},
      ISSN = {0002-9947},
   MRCLASS = {08B10 (06B10)},
  MRNUMBER = {603772},
MRREVIEWER = {W. Taylor},
       DOI = {10.2307/1998548},
       URL = {https://doi-org.colorado.idm.oclc.org/10.2307/1998548},
}
		
@article {MR596102,
    AUTHOR = {Day, Alan and Freese, Ralph},
     TITLE = {A characterization of identities implying congruence
              modularity. {I}},
   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'ematiques},
    VOLUME = {32},
      YEAR = {1980},
    NUMBER = {5},
     PAGES = {1140--1167},
      ISSN = {0008-414X},
   MRCLASS = {08B10},
  MRNUMBER = {596102},
MRREVIEWER = {Joel Berman},
       DOI = {10.4153/CJM-1980-087-6},
       URL = {https://doi-org.colorado.idm.oclc.org/10.4153/CJM-1980-087-6},
}
		
@article {MR576864,
    AUTHOR = {Freese, Ralph},
     TITLE = {Free modular lattices},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {261},
      YEAR = {1980},
    NUMBER = {1},
     PAGES = {81--91},
      ISSN = {0002-9947},
   MRCLASS = {06C05 (03D40)},
  MRNUMBER = {576864},
MRREVIEWER = {F. B. Cannonito},
       DOI = {10.2307/1998318},
       URL = {https://doi-org.colorado.idm.oclc.org/10.2307/1998318},
}
		
@article {MR549832,
    AUTHOR = {Freese, Ralph and Lampe, William A. and Taylor, Walter},
     TITLE = {Congruence lattices of algebras of fixed similarity type. {I}},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {82},
      YEAR = {1979},
    NUMBER = {1},
     PAGES = {59--68},
      ISSN = {0030-8730},
   MRCLASS = {08A30},
  MRNUMBER = {549832},
MRREVIEWER = {Joel Berman},
       URL = {http://projecteuclid.org.colorado.idm.oclc.org/euclid.pjm/1102785060},
}
		
@article {MR542881,
    AUTHOR = {Freese, Ralph},
     TITLE = {The variety of modular lattices is not generated by its finite
              members},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {255},
      YEAR = {1979},
     PAGES = {277--300},
      ISSN = {0002-9947},
   MRCLASS = {06C05 (06C20)},
  MRNUMBER = {542881},
MRREVIEWER = {K. A. Baker},
       DOI = {10.2307/1998176},
       URL = {https://doi-org.colorado.idm.oclc.org/10.2307/1998176},
}
		
@article {MR542080,
    AUTHOR = {Freese, Ralph and Nation, J. B.},
     TITLE = {Finitely presented lattices},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {77},
      YEAR = {1979},
    NUMBER = {2},
     PAGES = {174--178},
      ISSN = {0002-9939},
   MRCLASS = {06B25 (03B25 06B05)},
  MRNUMBER = {542080},
MRREVIEWER = {M. E. Adams},
       DOI = {10.2307/2042634},
       URL = {https://doi-org.colorado.idm.oclc.org/10.2307/2042634},
}
		
@article {MR531987,
    AUTHOR = {Freese, Ralph},
     TITLE = {Projective geometries as projective modular lattices},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {251},
      YEAR = {1979},
     PAGES = {329--342},
      ISSN = {0002-9947},
   MRCLASS = {06C10 (05B25)},
  MRNUMBER = {531987},
       DOI = {10.2307/1998697},
       URL = {https://doi-org.colorado.idm.oclc.org/10.2307/1998697},
}
		
@article {MR500031,
    AUTHOR = {Freese, Ralph and Nation, J. B.},
     TITLE = {Projective lattices},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {75},
      YEAR = {1978},
    NUMBER = {1},
     PAGES = {93--106},
      ISSN = {0030-8730},
   MRCLASS = {06B25},
  MRNUMBER = {500031},
MRREVIEWER = {G. Gr\"atzer},
       URL = {http://projecteuclid.org.colorado.idm.oclc.org/euclid.pjm/1102810149},
}
		
@article {MR0485608,
    AUTHOR = {Freese, R.},
     TITLE = {Some varieties of modular lattices not generated by their
              finite dimensional members},
 BOOKTITLE = {Contributions to universal algebra ({C}olloq., {J}\'ozsef
              {A}ttila {U}niv., {S}zeged, 1975)},
     PAGES = {133--144. Colloq. Math. Soc. J\'anos Bolyai, Vol. 17},
 PUBLISHER = {North-Holland, Amsterdam},
      YEAR = {1977},
   MRCLASS = {06A30 (08A15)},
  MRNUMBER = {0485608},
MRREVIEWER = {George Hutchinson},
}
		
@article {MR0441803,
    AUTHOR = {Freese, Ralph S.},
     TITLE = {The structure of modular lattices of width four with
              applications to varieties of lattices},
   JOURNAL = {Mem. Amer. Math. Soc.},
  FJOURNAL = {Memoirs of the American Mathematical Society},
    VOLUME = {9},
      YEAR = {1977},
    NUMBER = {181},
     PAGES = {vii+91},
      ISSN = {0065-9266},
   MRCLASS = {06A30},
  MRNUMBER = {0441803},
MRREVIEWER = {G. Bruns},
       DOI = {10.1090/memo/0181},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1090/memo/0181},
}
		
@article {MR0434911,
    AUTHOR = {Romanowska, Anna and Freese, Ralph},
     TITLE = {Subdirectly irreducible modular double {$p$}-algebras},
   JOURNAL = {Houston J. Math.},
  FJOURNAL = {Houston Journal of Mathematics},
    VOLUME = {3},
      YEAR = {1977},
    NUMBER = {1},
     PAGES = {109--112},
      ISSN = {0362-1588},
   MRCLASS = {06A35},
  MRNUMBER = {0434911},
MRREVIEWER = {R. Beazer},
}
		
@article {MR0434906,
    AUTHOR = {Freese, Ralph and Nation, J. B.},
     TITLE = {3-3 lattice inclusions imply congruence modularity},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {7},
      YEAR = {1977},
    NUMBER = {2},
     PAGES = {191--194},
      ISSN = {0002-5240},
   MRCLASS = {06A30},
  MRNUMBER = {0434906},
MRREVIEWER = {Ann Miller},
       DOI = {10.1007/BF02485428},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF02485428},
}
		
@article {MR0472644,
    AUTHOR = {Freese, Ralph and J\'onsson, Bjarni},
     TITLE = {Congruence modularity implies the {A}rguesian identity},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {6},
      YEAR = {1976},
    NUMBER = {2},
     PAGES = {225--228},
      ISSN = {0002-5240},
   MRCLASS = {08A15},
  MRNUMBER = {0472644},
MRREVIEWER = {M. E. Adams},
       DOI = {10.1007/BF02485830},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF02485830},
}
		
@article {MR0427175,
    AUTHOR = {Dilworth, R. P. and Freese, Ralph},
     TITLE = {Generators of lattice varieties},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {6},
      YEAR = {1976},
    NUMBER = {3},
     PAGES = {263--267},
      ISSN = {0002-5240},
   MRCLASS = {06A20},
  MRNUMBER = {0427175},
MRREVIEWER = {James B. Nation},
       DOI = {10.1007/BF02485834},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF02485834},
}
		
@article {MR0398927,
    AUTHOR = {Freese, Ralph},
     TITLE = {Planar sublattices of {${\rm FM}(4)$}},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {6},
      YEAR = {1976},
    NUMBER = {1},
     PAGES = {69--72},
      ISSN = {0002-5240},
   MRCLASS = {06A30},
  MRNUMBER = {0398927},
MRREVIEWER = {George Hutchinson},
       DOI = {10.1007/BF02485816},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1007/BF02485816},
}
		
@article {MR0424631,
    AUTHOR = {Freese, Ralph},
     TITLE = {Congruence lattices of finitely generated modular lattices},
 BOOKTITLE = {Proceedings of the {L}attice {T}heory {C}onference ({U}lm,
              1975)},
     PAGES = {62--70},
 PUBLISHER = {Univ. Ulm, Ulm},
      YEAR = {1975},
   MRCLASS = {06A30},
  MRNUMBER = {0424631},
MRREVIEWER = {E. T. Schmidt},
}
		
@article {MR0371751,
    AUTHOR = {Freese, Ralph},
     TITLE = {Ideal lattices of lattices},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {57},
      YEAR = {1975},
    NUMBER = {1},
     PAGES = {125--133},
      ISSN = {0030-8730},
   MRCLASS = {06A20},
  MRNUMBER = {0371751},
MRREVIEWER = {R. P. Dilworth},
       URL = {http://projecteuclid.org.colorado.idm.oclc.org/euclid.pjm/1102906178},
}
		
@article {MR0354067,
    AUTHOR = {Freese, Ralph and Johnson, Charles R.},
     TITLE = {Comments on the discrete matrix model of population dynamics},
   JOURNAL = {J. Res. Nat. Bur. Standards Sect. B},
  FJOURNAL = {Journal of Research of the National Bureau of Standards},
    VOLUME = {78B},
      YEAR = {1974},
     PAGES = {73--78},
      ISSN = {0160-1741},
   MRCLASS = {92A15},
  MRNUMBER = {0354067},
MRREVIEWER = {N. Keyfitz},
}
		
@article {MR0332584,
    AUTHOR = {Freese, Ralph},
     TITLE = {An application of {D}ilworth's lattice of maximal antichains},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {7},
      YEAR = {1974},
     PAGES = {107--109},
      ISSN = {0012-365X},
   MRCLASS = {06A10},
  MRNUMBER = {0332584},
MRREVIEWER = {Joel Berman},
       DOI = {10.1016/S0012-365X(74)80022-1},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1016/S0012-365X(74)80022-1},
}
		
@article {MR0398926,
    AUTHOR = {Freese, Ralph},
     TITLE = {Breadth two modular lattices},
 BOOKTITLE = {Proceedings of the {U}niversity of {H}ouston {L}attice
              {T}heory {C}onference ({H}ouston, {T}ex., 1973)},
     PAGES = {409--451},
 PUBLISHER = {Dept. Math., Univ. Houston, Houston, Tex.},
      YEAR = {1973},
   MRCLASS = {06A30},
  MRNUMBER = {0398926},
MRREVIEWER = {George Hutchinson},
}
		
@article {MR0340273,
    AUTHOR = {Freese, Ralph},
     TITLE = {Inequalities for generalized matrix functions based on
              arbitrary characters},
   JOURNAL = {Linear Algebra and Appl.},
    VOLUME = {7},
      YEAR = {1973},
     PAGES = {337--345},
   MRCLASS = {15A15 (20C15)},
  MRNUMBER = {0340273},
MRREVIEWER = {Charles R. Johnson},
}
		
@article {MR0332590,
    AUTHOR = {Freese, Ralph and Nation, J. B.},
     TITLE = {Congruence lattices of semilattices},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {49},
      YEAR = {1973},
     PAGES = {51--58},
      ISSN = {0030-8730},
   MRCLASS = {06A20},
  MRNUMBER = {0332590},
MRREVIEWER = {E. T. Schmidt},
       URL = {http://projecteuclid.org.colorado.idm.oclc.org/euclid.pjm/1102945267},
}
		
@book {MR2621900,
    AUTHOR = {Freese, Ralph Stanley},
     TITLE = {V{ARIETIES} {GENERATED} {BY} {MODULAR} {LATTICES} {OF} {WIDTH}
              {FOUR}},
      NOTE = {Thesis (Ph.D.)--California Institute of Technology},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1972},
     PAGES = {132},
   MRCLASS = {Thesis},
  MRNUMBER = {2621900},
       URL =
              {http://gateway.proquest.com.colorado.idm.oclc.org/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:7222549},
}
		
@article {MR0289376,
    AUTHOR = {Freese, Ralph},
     TITLE = {Varieties generated by modular lattices of width four},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {Bulletin of the American Mathematical Society},
    VOLUME = {78},
      YEAR = {1972},
     PAGES = {447--450},
      ISSN = {0002-9904},
   MRCLASS = {06.40},
  MRNUMBER = {0289376},
MRREVIEWER = {E. T. Schmidt},
       DOI = {10.1090/S0002-9904-1972-12939-2},
       URL = {https://doi-org.colorado.idm.oclc.org/10.1090/S0002-9904-1972-12939-2},
}