Edit Profile (opens in new tab) Grätzer, George Compute Distance To: Compute Author ID: gratzer.george Published as: Grätzer, G.; Grätzer, George; Grätzer, György; Graetzer, G.; Grätzer, George A.; Grätzer, Gy.; Gräzer, G. more...less Homepage: https://server.math.umanitoba.ca/~gratzer/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 287 Publications since 1957, including 21 Books 3 Contributions as Editor · 1 Further Contribution Biographic References: 5 Publications Co-Authors: 51 Co-Authors with 211 Joint Publications 733 Co-Co-Authors all top 5 Co-Authors 73 single-authored 63 Schmidt, Elegius Tamas 45 Lakser, Harry 16 Fried, Ervin 16 Kelly, David 15 Wehrung, Friedrich 12 Quackenbush, Robert W. 7 Sichler, Jiří Jan 6 Czédli, Gábor 6 Platt, Craig R. 6 Płonka, Jerzy 5 Huhn, Andras P. 5 Knapp, Edward 5 Wenzel, Günter Hermann 3 Chen, Chuan-Chong 3 Freese, Ralph S. 3 Jónsson, Bjarni 3 Lampe, William A. 3 Wolk, Barry 2 Berman, Joel D. 2 Davey, Brian A. 2 Ganter, Bernhard 2 Greferath, Marcus 2 Hajnal, András 2 Jipsen, Peter 2 Kisielewicz, Andrzej Piotr 2 Padmanabhan, Ranganathan 2 Priestley, Hilary A. 2 Roddy, Micheale Susan 2 Rose, Henry 2 Schmidt, Stefan E. 2 Taylor, Walter F. 2 Wang, Dabin 2 Wille, Rudolf 1 Abbott, James C. 1 Baker, Kirby A. 1 Balbes, Raymond 1 Bergman, George M. 1 Birkhoff, Garrett 1 Bol’bot, A. D. 1 Cormack, Gordon V. 1 Crapo, Henry H. 1 Davidson, Michelle 1 Diener, Karl-Heinz 1 Frink, Orrin jun. 1 Gaskill, Herbert S. 1 Gorbunov, Viktor Aleksandrovich 1 Graczyńska, Ewa Wanda 1 Gunderson, David S. 1 Holland, Samuel Shaheen jun. 1 Kiss, Emil W. 1 Klus, G. 1 Koh, Khee Meng 1 Makkai, Michael 1 Nation, James B. 1 Nguyen, Athena 1 Rival, Ivan 1 Rota, Gian-Carlo 1 Sekanina, A. 1 Thomsen, Klaus E. 1 Tumanov, V. I. 1 Wares, T. 1 Wonenburger, María Josefa 1 Zaguia, Nejib all top 5 Serials 48 Algebra Universalis 34 Acta Scientiarum Mathematicarum 18 Proceedings of the American Mathematical Society 13 Colloquium Mathematicum 13 Acta Mathematica Hungarica 12 Canadian Journal of Mathematics 10 Pacific Journal of Mathematics 7 Acta Mathematica Academiae Scientiarum Hungaricae 7 Journal of Algebra 7 Transactions of the American Mathematical Society 7 Comptes Rendus Mathématiques de l’Académie des Sciences 6 Canadian Mathematical Bulletin 6 Order 5 Studia Scientiarum Mathematicarum Hungarica 4 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 4 Publications of the Mathematical Institute of the Hungarian Academy of Sciences, Series A 3 Houston Journal of Mathematics 3 Archiv der Mathematik 3 Duke Mathematical Journal 3 Fundamenta Mathematicae 3 Journal of the Australian Mathematical Society. Series A 3 Notices of the American Mathematical Society 3 Discussiones Mathematicae. General Algebra and Applications 3 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 3 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 2 Periodica Mathematica Hungarica 2 Journal of Pure and Applied Algebra 2 Mathematica Slovaca 2 Theoretical Computer Science 2 Journal of the Australian Mathematical Society 2 Categories and General Algebraic Structures with Applications 1 Beiträge zur Algebra und Geometrie 1 Archivum Mathematicum 1 Demonstratio Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Advances in Applied Mathematics 1 International Journal of Algebra and Computation 1 Tatra Mountains Mathematical Publications 1 Journal of Combinatorial Theory 1 Académie de la République Populaire Roumaine, Revue de Mathématiques Pures et Appliquées 1 Publications of the Mathematical Institute of the Hungarian Academy of Sciences all top 5 Fields 207 Order, lattices, ordered algebraic structures (06-XX) 66 General algebraic systems (08-XX) 11 Group theory and generalizations (20-XX) 9 Mathematical logic and foundations (03-XX) 8 Computer science (68-XX) 4 History and biography (01-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Convex and discrete geometry (52-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 234 Publications have been cited 3,265 times in 2,186 Documents Cited by ▼ Year ▼ General lattice theory. Zbl 0385.06015Grätzer, G. 463 1978 Universal algebra. Zbl 0182.34201Grätzer, G. 304 1968 Lattice theory. First concepts and distributive lattices. Zbl 0232.06001Grätzer, George 224 1971 Lattice theory: Foundation. Zbl 1233.06001Grätzer, George 197 2011 General lattice theory. Zbl 0436.06001Grätzer, George 150 1978 General lattice theory. New appendices with B. A. Davey, R. Freese, B. Ganter, M. Greferath, P. Jipsen, H. A. Priestley, H. Rose, E. T. Schmidt, S. E. Schmidt, F. Wehrung, R. Wille. 2nd ed. Zbl 0909.06002Grätzer, George 99 1998 Universal algebra. 2nd ed. Zbl 0412.08001Grätzer, George 94 1979 Characterizations of congruence lattices of abstract algebras. Zbl 0117.26101Grätzer, G.; Schmidt, E. T. 55 1963 The structure of pseudocomplemented distributive lattices. II: Congruence extension and amalgamation. Zbl 0244.06011Grätzer, G.; Lakser, H. 50 1971 Standard ideals in lattices. Zbl 0115.01901Grätzer, G.; Schmidt, E. T. 49 1961 Ideals and congruence relations in lattices. Zbl 0085.02002Grätzer, G.; Schmidt, E. T. 47 1958 Two Mal’cev-type theorems in universal algebra. Zbl 0194.01401Grätzer, G. 43 1970 General lattice theory. With appendices with B. A. Davey, R. Freese, B. Ganter, M. Greferath, P. Jipsen, H. A. Priestley, H. Rose, E. T. Schmidt, S. E. Schmidt, F. Wehrung and R. Wille. Paperback reprint of the 1998 2nd edition. Zbl 1152.06300Grätzer, George 41 2003 Notes on planar semimodular lattices. I: Construction. Zbl 1223.06007Grätzer, George; Knapp, Edward 37 2007 On congruence lattices of lattices. Zbl 0101.02103Grätzer, G.; Schmidt, E. T. 36 1962 Uniform congruence schemes. Zbl 0431.08002Fried, E.; Grätzer, G.; Quackenbush, R. 35 1980 Stone lattices. I: Construction theorems. Zbl 0184.03303Chen, C. C.; Grätzer, G. 34 1969 General lattice theory. Zbl 0385.06014Grätzer, George 33 1978 Joins and direct products of equational classes. Zbl 0188.04903Grätzer, G.; Lakser, H.; Płonka, Jerzy 33 1969 Notes on planar semimodular lattices. III. Rectangular lattices. Zbl 1199.06029Grätzer, G.; Knapp, E. 32 2009 A note on the implicational class generated by a class of structures. Zbl 0299.08007Grätzer, G.; Lakser, H. 30 1973 Universal algebra. 2nd printing of the 2nd ed. 1979. Zbl 1143.08001Grätzer, George 30 2008 On the existence of free structures over universal classes. Zbl 0155.03502Grätzer, George 27 1968 Notes on lattice theory. II: On Boolean functions. Zbl 0134.25801Grätzer, G. 26 1962 The amalgamation property in equational classes of modular lattices. Zbl 0264.06007Grätzer, G.; Jonsson, B.; Lakser, H. 26 1973 Congruence lattices of finite semimodular lattices. Zbl 0918.06004Grätzer, G.; Lakser, H.; Schmidt, E. T. 24 1998 On a problem of M. H. Stone. Zbl 0079.04503Grätzer, G.; Schmidt, E. T. 23 1957 Boolean functions on distributive lattices. Zbl 0146.01902Grätzer, G. 22 1964 On the endomorphism semigroup (and category) of bounded lattices. Zbl 0208.02602Grätzer, G.; Sichler, J. 22 1971 Notes on planar semimodular lattices. IV. The size of a minimal congruence lattice representation with rectangular lattices. Zbl 1224.06013Grätzer, G.; Knapp, E. 21 2010 Stone lattices. II: Structure theorems. Zbl 0184.03304Chen, C. C.; Grätzer, G. 21 1969 The congruences of a finite lattice. A proof-by-picture approach. Zbl 1106.06001Grätzer, George 19 2006 A new look at the Jordan-Hölder theorem for semimodular lattices. Zbl 1216.06006Grätzer, G.; Nation, J. B. 17 2010 The order of principal congruences of a bounded lattice. Zbl 1294.06006Grätzer, G. 17 2013 On the number of polynomials of an idempotent algebra. I. Zbl 0215.06301Grätzer, G.; Płonka, J. 16 1970 Injective and projective Stone algebras. Zbl 0219.06005Balbes, R.; Grätzer, G. 16 1971 The structure of pseudocomplemented distributive lattices. III: Injective and absolute subretracts. Zbl 0269.06004Grätzer, G.; Lakser, H. 15 1972 Identities for globals (complex algebras) of algebras. Zbl 0668.08005Grätzer, G.; Lakser, H. 14 1988 A nonassociative extension of the class of distributive lattices. Zbl 0282.06008Fried, E.; Grätzer, G. 14 1973 On idempotent, commutative, and nonassociative groupoids. Zbl 0215.34501Grätzer, G.; Padmanabhan, R. 14 1971 A note on planar semimodular lattices. Zbl 1223.06006Grätzer, G.; Knapp, E. 13 2008 Equational classes of lattices. Zbl 0158.27101Grätzer, G. 13 1966 Congruences and prime-perspectivities in finite lattices. Zbl 1326.06009Grätzer, G. 13 2015 Planar semimodular lattices: structure and diagrams. Zbl 1390.06007Czédli, Gábor; Grätzer, George 12 2014 On ideal theory for lattices. Zbl 0092.26802Grätzer, G.; Schmidt, E. T. 11 1958 A representation theorem for multi-algebras. Zbl 0109.25102Grätzer, G. 11 1962 Notes on planar semimodular lattices. II: Congruences. Zbl 1164.06004Grätzer, G.; Knapp, E. 11 2008 Free products of lattices. Zbl 0206.29703Grätzer, G.; Lakser, H.; Platt, C. R. 11 1970 A technical lemma for congruences of finite lattices. Zbl 1436.06012Grätzer, G. 10 2014 A generalization of Stone’s representation theorem for Boolean algebras. Zbl 0121.26702Grätzer, G. 10 1963 Some examples of weakly associative lattices. Zbl 0325.06004Fried, E.; Grätzer, G. 10 1973 On the generalized Boolean algebra generated by a distributive lattice. Zbl 0082.25003Grätzer, G.; Schmidt, E. T. 10 1958 Homomorphisms and principal congruences of bounded lattices. I: Isotone maps of principal congruences. Zbl 1399.06011Grätzer, G. 10 2016 On the construction of complemented lattices. Zbl 0185.03701Chen, C. C.; Grätzer, G. 10 1969 Equationally compact semilattices. Zbl 0191.00802Grätzer, G.; Lakser, H. 10 1969 Lattice theory: special topics and applications. Volume 1. Zbl 1296.06001 9 2014 The structure of tensor products of semilattices with zero. Zbl 0478.06003Graetzer, G.; Lakser, H.; Quackenbush, R. 9 1981 A new lattice construction: The box product. Zbl 0961.06005Grätzer, G.; Wehrung, F. 9 1999 Proper congruence-preserving extensions of lattices. Zbl 0988.06002Grätzer, G.; Wehrung, F. 9 1999 A survey of some open problems on \(p_ n\)-sequences and free spectra of algebras and varieties. Zbl 0772.08001Grätzer, G.; Kisielewicz, A. 9 1992 Notes on planar semimodular lattices. VII: Resections of planar semimodular lattices. Zbl 1290.06001Czédli, Gábor; Grätzer, George 9 2013 On subalgebra lattices of universal algebras. Zbl 0178.01101Grätzer, G.; Lampe, W. A. 9 1967 On the number of polynomials of a universal algebra. I. Zbl 0211.32102Grätzer, G.; Płonka, J.; Sekanina, A. 9 1970 Congruences of fork extensions of slim, planar, semimodular lattices. Zbl 1370.06004Grätzer, G. 9 2016 On the lattice of quasivarieties of distributive lattices with pseudocomplementation. Zbl 0454.08008Grätzer, G.; Lakser, H.; Quackenbush, R. W. 8 1980 Tensor products of semilattices with zero, revisited. Zbl 0945.06003Grätzer, G.; Wehrung, F. 8 2000 The congruences of a finite lattice. A “proof-by-picture” approach. 2nd edition. Zbl 1348.06001Grätzer, George 8 2016 Two notes on lattice-congruences. Zbl 0089.25603Grätzer, G.; Schmidt, E. T. 8 1958 On inaccessible and minimal congruence relations. I. Zbl 0099.01903Grätzer, G.; Schmidt, E. T. 8 1960 On the lattice of all join-endomorphisms of a lattice. Zbl 0087.26104Grätzer, G.; Schmidt, E. T. 8 1958 The strong independence theorem for automorphism groups and congruence lattices of finite lattices. Zbl 0817.06005Grätzer, G.; Schmidt, E. T. 8 1995 Congruence lattices of small planar lattices. Zbl 0842.06007Grätzer, G.; Lakser, H.; Schmidt, E. T. 8 1995 Notes on planar semimodular lattices. VI: On the structure theorem of planar semimodular lattices. Zbl 1290.06002Grätzer, G. 8 2013 On the endomorphism semigroup of simple algebras. Zbl 0146.02105Grätzer, G. 8 1967 Homomorphisms of distributive lattices as restrictions of congruences. Zbl 0597.06007Grätzer, George; Lakser, Harry 8 1986 On the family of certain subalgebras of a universal algebra. Zbl 0138.01603Grätzer, G. 8 1965 A short proof of the congruence representation theorem of rectangular lattices. Zbl 1307.06001Grätzer, G.; Schmidt, E. T. 7 2014 An extension theorem for planar semimodular lattices. Zbl 1320.06007Grätzer, G.; Schmidt, E. T. 7 2014 Lattice tolerances and congruences. Zbl 1231.06007Czédli, Gábor; Grätzer, George 7 2011 Chain conditions in the distributive free product of lattices. Zbl 0194.32504Grätzer, G.; Lakser, H. 7 1969 Isotone maps as maps of congruences. I: Abstract maps. Zbl 0921.06008Grätzer, G.; Lakser, H.; Schmidt, E. T. 6 1997 Congruences in slim, planar, semimodular lattices: the swing lemma. Zbl 1374.06017Grätzer, G. 6 2015 On congruence lattices of \(\mathfrak m\)-complete lattices. Zbl 0772.08003Grätzer, G.; Lakser, H. 6 1992 Homomorphisms and principal congruences of bounded lattices. III. The independence theorem. Zbl 1420.06011Grätzer, G. 6 2017 The lattice of quasivarieties of lattices. Zbl 0402.08015Grätzer, G.; Lakser, H. 6 1979 Infinitary varieties of structures closed under the formation of complex structures. Zbl 0545.08001Grätzer, G.; Whitney, S. 6 1984 Partial and free weakly associative lattices. Zbl 0347.06005Fried, E.; Grätzer, G. 6 1976 A construction of semimodular lattices. Zbl 0586.06001Grätzer, George; Kiss, Emil W. 6 1986 Products of lattice varieties. Zbl 0587.06002Grätzer, George; Kelly, David 6 1985 Standard-Ideale. Zbl 0083.25503Grätzer, György 6 1959 A lattice construction and congruence-preserving extensions. Zbl 0842.06008Grätzer, G.; Schmidt, E. T. 6 1995 On the spectra of classes of algebras. Zbl 0156.25704Grätzer, G. 6 1967 Stone algebras form an equational class. (Remarks on lattice theory. III). Zbl 0175.01305Grätzer, G. 6 1969 On the independence theorem of related structures for modular (arguesian) lattices. Zbl 1048.06004Grätzer, G.; Schmidt, E. T. 5 2003 On complete congruence lattices of complete lattices. Zbl 0736.06010Grätzer, G.; Lakser, H. 5 1991 The variety generated by planar modular lattices. Zbl 1207.06006Grätzer, G.; Quackenbush, R. W. 5 2010 Homomorphisms and principal congruences of bounded lattices. II. Sketching the proof for sublattices. Zbl 1420.06010Grätzer, G. 5 2017 Lattice theory: special topics and applications. Volume 2. Zbl 1357.06001 5 2016 Free products of Hopfian lattices. Zbl 0288.06006Grätzer, G.; Sichler, J. 5 1974 Free decompositions of a lattice. Zbl 0323.06005Grätzer, G.; Sichler, J. 5 1975 Applying the Czédli-Schmidt sequences to congruence properties of planar semimodular lattices. Zbl 1491.06012Grätzer, G. 1 2021 Notes on planar semimodular lattices. VIII. Congruence lattices of SPS lattices. Zbl 1477.06024Grätzer, G. 2 2020 Zilber’s theorem for planar lattices, revisited. Zbl 1463.06031Baker, Kirby A.; Grätzer, George 1 2020 Some preliminary results on the set of principal congruences of a finite lattice. Zbl 06904406Grätzer, G.; Lakser, H. 4 2018 Congruence structure of planar semimodular lattices: the general swing lemma. Zbl 06904425Czédli, Gábor; Grätzer, George; Lakser, Harry 2 2018 Congruences and trajectories in planar semimodular lattices. Zbl 1463.06032Grätzer, G. 1 2018 My collaboration with E. T. Schmidt spanning six decades. Zbl 1390.01078Grätzer, G. 1 2018 Homomorphisms and principal congruences of bounded lattices. III. The independence theorem. Zbl 1420.06011Grätzer, G. 6 2017 Homomorphisms and principal congruences of bounded lattices. II. Sketching the proof for sublattices. Zbl 1420.06010Grätzer, G. 5 2017 Characterizing representability by principal congruences for finite distributive lattices with a join-irreducible unit element. Zbl 1413.06007Grätzer, George 1 2017 Homomorphisms and principal congruences of bounded lattices. I: Isotone maps of principal congruences. Zbl 1399.06011Grätzer, G. 10 2016 Congruences of fork extensions of slim, planar, semimodular lattices. Zbl 1370.06004Grätzer, G. 9 2016 The congruences of a finite lattice. A “proof-by-picture” approach. 2nd edition. Zbl 1348.06001Grätzer, George 8 2016 Lattice theory: special topics and applications. Volume 2. Zbl 1357.06001 5 2016 Remembering Ervin Fried and Jiří Sichler. Zbl 1348.01020Grätzer, G. 1 2016 Congruences and prime-perspectivities in finite lattices. Zbl 1326.06009Grätzer, G. 13 2015 Congruences in slim, planar, semimodular lattices: the swing lemma. Zbl 1374.06017Grätzer, G. 6 2015 Planar semimodular lattices: structure and diagrams. Zbl 1390.06007Czédli, Gábor; Grätzer, George 12 2014 A technical lemma for congruences of finite lattices. Zbl 1436.06012Grätzer, G. 10 2014 Lattice theory: special topics and applications. Volume 1. Zbl 1296.06001 9 2014 A short proof of the congruence representation theorem of rectangular lattices. Zbl 1307.06001Grätzer, G.; Schmidt, E. T. 7 2014 An extension theorem for planar semimodular lattices. Zbl 1320.06007Grätzer, G.; Schmidt, E. T. 7 2014 Planar semimodular lattices: congruences. Zbl 1412.06009Grätzer, George 4 2014 Two more topics on congruence lattices of lattices. Zbl 1352.06006Grätzer, George 1 2014 The order of principal congruences of a bounded lattice. Zbl 1294.06006Grätzer, G. 17 2013 Notes on planar semimodular lattices. VII: Resections of planar semimodular lattices. Zbl 1290.06001Czédli, Gábor; Grätzer, George 9 2013 Notes on planar semimodular lattices. VI: On the structure theorem of planar semimodular lattices. Zbl 1290.06002Grätzer, G. 8 2013 Isotone maps on lattices. Zbl 1272.06013Bergman, G. M.; Grätzer, G. 5 2012 Lattice theory: Foundation. Zbl 1233.06001Grätzer, George 197 2011 Lattice tolerances and congruences. Zbl 1231.06007Czédli, Gábor; Grätzer, George 7 2011 On the algorithmic construction of the 1960 sectional complement. Zbl 1249.06024Grätzer, G.; Klus, G.; Nguyen, A. 1 2011 Notes on planar semimodular lattices. IV. The size of a minimal congruence lattice representation with rectangular lattices. Zbl 1224.06013Grätzer, G.; Knapp, E. 21 2010 A new look at the Jordan-Hölder theorem for semimodular lattices. Zbl 1216.06006Grätzer, G.; Nation, J. B. 17 2010 The variety generated by planar modular lattices. Zbl 1207.06006Grätzer, G.; Quackenbush, R. W. 5 2010 Positive universal classes in locally finite varieties. Zbl 1208.08002Grätzer, G.; Quackenbush, R. W. 4 2010 Notes on planar semimodular lattices. V. Cover-preserving embeddings of finite semimodular lattices into simple semimodular lattices. Zbl 1224.06014Grätzer, G.; Wares, T. 3 2010 Notes on planar semimodular lattices. III. Rectangular lattices. Zbl 1199.06029Grätzer, G.; Knapp, E. 32 2009 The spectrum of a finite pseudocomplemented lattice. Zbl 1209.06004Grätzer, G.; Gunderson, D. S.; Quackenbush, R. W. 3 2009 Universal algebra. 2nd printing of the 2nd ed. 1979. Zbl 1143.08001Grätzer, George 30 2008 A note on planar semimodular lattices. Zbl 1223.06006Grätzer, G.; Knapp, E. 13 2008 Notes on planar semimodular lattices. II: Congruences. Zbl 1164.06004Grätzer, G.; Knapp, E. 11 2008 Notes on planar semimodular lattices. I: Construction. Zbl 1223.06007Grätzer, George; Knapp, Edward 37 2007 Two problems that shaped a century of lattice theory. Zbl 1286.06001Grätzer, George 5 2007 Subdirectly irreducible modular lattices of width at most 4. Zbl 1136.06004Grätzer, G.; Lakser, H. 3 2007 The congruences of a finite lattice. A proof-by-picture approach. Zbl 1106.06001Grätzer, George 19 2006 Freely adjoining a complement to a lattice. Zbl 1164.06308Grätzer, G.; Lakser, H. 2 2006 Freely adjoining a relative complement to a lattice. Zbl 1083.06011Grätzer, G.; Lakser, H. 3 2005 A new lattice construction. Zbl 1094.06005Grätzer, G.; Kelly, David 3 2005 Representing congruence lattices of lattices with partial unary operations as congruence lattices of lattices. II: Interval ordering. Zbl 1100.06002Grätzer, G.; Greenberg, M.; Schmidt, E. T. 3 2005 Notes on sectionally complemented lattices. III. The general problem. Zbl 1093.06005Grätzer, G.; Lakser, H.; Roddy, M. 2 2005 Notes on sectionally complemented lattices. I. Characterizing the 1960 sectional complement. Zbl 1093.06003Grätzer, G.; Lakser, H. 1 2005 Finite lattices and congruences. A survey. Zbl 1090.06005Grätzer, G.; Schmidt, E. T. 5 2004 Congruence-preserving extensions of finite lattices to isoform lattices. Zbl 1073.06003Grätzer, G.; Quackenbush, R. W.; Schmidt, E. T. 2 2004 Lattice tensor products. IV. Zbl 1082.06007Grätzer, G.; Greenberg, M. 1 2004 Congruence class sizes in finite sectionally complemented lattices. Zbl 1078.06003Grätzer, G.; Schmidt, E. T. 1 2004 General lattice theory. With appendices with B. A. Davey, R. Freese, B. Ganter, M. Greferath, P. Jipsen, H. A. Priestley, H. Rose, E. T. Schmidt, S. E. Schmidt, F. Wehrung and R. Wille. Paperback reprint of the 1998 2nd edition. Zbl 1152.06300Grätzer, George 41 2003 On the independence theorem of related structures for modular (arguesian) lattices. Zbl 1048.06004Grätzer, G.; Schmidt, E. T. 5 2003 Congruence lattices of uniform lattices. Zbl 1035.06001Grätzer, G.; Schmidt, E. T.; Thomsen, K. 4 2003 Representing congruence lattices of lattices with partial unary operations as congruence lattices of lattices. I: Interval equivalence. Zbl 1098.06003Grätzer, G.; Schmidt, E. T. 3 2003 On the number of join-irreducibles in a congruence representation of a finite distributive lattice. Zbl 1090.06008Grätzer, G.; Wehrung, F. 1 2003 Finite lattices with isoform congruences. Zbl 1065.06004Grätzer, George; Schmidt, E. Tamás 1 2003 Lattice tensor products. III: Congruences. Zbl 1026.06010Grätzer, G.; Greenberg, M. 1 2003 Lattice tensor products I. Coordinatization. Zbl 0997.06002Grätzer, G.; Greenberg, M. 1 2002 Isotone maps as maps of congruences. II. Concrete maps. Zbl 1012.06007Grätzer, G.; Lakser, H.; Schmidt, E. T. 4 2001 A survey of tensor products and related constructions in two lectures. Zbl 0981.06002Grätzer, George; Wehrung, Friedrich 3 2001 Regular congruence-preserving extensions of lattices. Zbl 1058.06008Grätzer, G.; Schmidt, E. T. 3 2001 Congruence-preserving extensions of finite lattices to semimodular lattices. Zbl 0995.06002Grätzer, G.; Schmidt, E. T. 2 2001 Complete congruence representations with 2-distributive modular lattices. Zbl 0980.06004Grätzer, G.; Schmidt, E. T. 2 2001 Tensor products of semilattices with zero, revisited. Zbl 0945.06003Grätzer, G.; Wehrung, F. 8 2000 Congruence amalgamation of lattices. Zbl 0953.06010Grätzer, George; Lakser, Harry; Wehrung, Friedrich 3 2000 The strong independence theorem for automorphism groups and congruence lattices of arbitrary lattices. Zbl 0969.06005Grätzer, G.; Wehrung, F. 2 2000 Congruence representations of join-homomorphisms of finite distributive lattices: Size and breadth. Zbl 0958.06003Grätzer, G.; Lakser, H.; Schmidt, E. T. 1 2000 A new lattice construction: The box product. Zbl 0961.06005Grätzer, G.; Wehrung, F. 9 1999 Proper congruence-preserving extensions of lattices. Zbl 0988.06002Grätzer, G.; Wehrung, F. 9 1999 Congruence-preserving extensions of finite lattices to sectionally complemented lattices. Zbl 0923.06003Grätzer, G.; Schmidt, E. T. 5 1999 Tensor products and transferability of semilattices. Zbl 0941.06010Grätzer, G.; Wehrung, F. 3 1999 On finite automorphism groups of simple Arguesian lattices. Zbl 0988.06005Grätzer, G.; Schmidt, E. T. 3 1999 The \(M_3[D]\) construction and \(n\)-modularity. Zbl 0965.06008Grätzer, G.; Wehrung, F. 2 1999 Sublattices and standard congruences. Zbl 0965.06006Grätzer, G.; Schmidt, E. T. 1 1999 Flat semilattices. Zbl 0922.06006Grätzer, George; Wehrung, Friedrich 1 1999 Congruence lattices 101. Zbl 0916.06006Grätzer, G. 1 1999 Some combinatorial aspects of congruence lattice representations. Zbl 0916.06007Grätzer, G.; Schmidt, E. T. 1 1999 General lattice theory. New appendices with B. A. Davey, R. Freese, B. Ganter, M. Greferath, P. Jipsen, H. A. Priestley, H. Rose, E. T. Schmidt, S. E. Schmidt, F. Wehrung, R. Wille. 2nd ed. Zbl 0909.06002Grätzer, George 99 1998 Congruence lattices of finite semimodular lattices. Zbl 0918.06004Grätzer, G.; Lakser, H.; Schmidt, E. T. 24 1998 Representations of join-homomorphisms of distributive lattices with doubly 2-distributive lattices. Zbl 0921.06010Grätzer, G.; Schmidt, E. T. 2 1998 Isotone maps as maps of congruences. I: Abstract maps. Zbl 0921.06008Grätzer, G.; Lakser, H.; Schmidt, E. T. 6 1997 A short proof of a theorem of Birkhoff. Zbl 0905.20023Grätzer, G.; Schmidt, E. T.; Wang, D. 2 1997 Complete congruence lattices of join-infinite distributive lattices. Zbl 0902.06014Grätzer, G.; Schmidt, E. T. 1 1997 Congruence representations of join-homomorphisms of distributive lattices: a short proof. Zbl 0888.06004Grätzer, G.; Lakser, H.; Schmidt, E. T. 4 1996 The strong independence theorem for automorphism groups and congruence lattices of finite lattices. Zbl 0817.06005Grätzer, G.; Schmidt, E. T. 8 1995 Congruence lattices of small planar lattices. Zbl 0842.06007Grätzer, G.; Lakser, H.; Schmidt, E. T. 8 1995 A lattice construction and congruence-preserving extensions. Zbl 0842.06008Grätzer, G.; Schmidt, E. T. 6 1995 Complete congruence lattices of complete distributive lattices. Zbl 0822.06008Grätzer, G.; Schmidt, E. T. 4 1995 Congruence lattices of \(p\)-algebras. Zbl 0827.06007Grätzer, G.; Schmidt, E. T. 3 1995 Small representations of finite distributive lattices as congruence lattices. Zbl 0822.06009Grätzer, George; Rival, Ivan; Zaguia, Nejib 3 1995 Do we need complete-simple distributive lattices? Zbl 0819.06008Grätzer, G.; Schmidt, E. T. 2 1995 On a result of Birkhoff. Zbl 0827.06006Grätzer, G.; Lakser, H.; Schmidt, E. T. 2 1995 On isotone functions with the substitution property in distributive lattices. Zbl 0838.06007Grätzer, G.; Schmidt, E. T. 1 1995 A representation of \({\mathfrak m}\)-algebraic lattices. Zbl 0829.06009Grätzer, G.; Johnson, P. M.; Schmidt, E. T. 4 1994 Homomorphisms of distributive lattices as restrictions of congruences. II: Planarity and automorphisms. Zbl 0802.06005Grätzer, G.; Lakser, H. 3 1994 ...and 134 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,714 Authors 62 Czédli, Gábor 61 Grätzer, George 36 Schmidt, Elegius Tamas 33 Chajda, Ivan 27 Katriňák, Tibor 25 Wehrung, Friedrich 19 Sichler, Jiří Jan 17 Fried, Ervin 17 Halaš, Radomír 16 Dziobiak, Wiesław 15 Beazer, Rod 14 Lakser, Harry 14 Radeleczki, Sándor 13 Berman, Joel D. 13 Erné, Marcel 13 Freese, Ralph S. 13 Quackenbush, Robert W. 12 Davey, Brian A. 12 Düntsch, Ivo 12 Joshi, Vinayak V. 12 Koh, Khee Meng 12 Nation, James B. 12 Vernikov, Boris Munevich 11 Couceiro, Miguel 11 Koubek, Vaclav 11 Padmanabhan, Ranganathan 11 Pigozzi, Don Leonard 11 Pulmannová, Sylvia 11 Taylor, Walter F. 10 Dudek, Józef 10 Lampe, William A. 10 Paoli, Francesco 10 Ronse, Christian 10 Sankappanavar, Hanamantagouda P. 10 Šešelja, Branimir 10 Shushpanov, Mikhail Pavlovich 10 Šlapal, Josef 10 Tepavčević, Andreja 9 Badawy, Abd El-Mohsen 9 Baker, Kirby A. 9 Bulman-Fleming, Sydney 9 Draskovicova, Hilda 9 Ésik, Zoltán 9 Nimbhorkar, Shriram Khanderao 9 Ploščica, Miroslav 9 Schweigert, Dietmar 9 Tsinakis, Constantine 9 Waphare, B. N. 8 Duda, Jaromír 8 Geĭn, Aleksandr Georgievich 8 Harding, John 8 Jakubík, Ján 8 Jónsson, Bjarni 8 Pocs, Jozef 8 Ramana Murty, P. V. 8 Reading, Nathan 8 Schmid, Jurg 8 Stern, Manfred 7 Addis, Gezahagne Mulat 7 Cordero, Pablo 7 Cornish, William Hugh 7 Fraser, Grant A. 7 Haviar, Miroslav 7 Iskander, Awad A. 7 Jakubíková-Studenovská, Danica 7 Janowitz, Melvin F. 7 Ježek, Jaroslav 7 Kisielewicz, Andrzej Piotr 7 Movsisyan, Yuri Movses 7 Pinus, Aleksandr Georgievich 7 Pouzet, Maurice 7 Rasouli, Saeed 7 Rival, Ivan 7 Santocanale, Luigi 7 Shaprynskiĭ, Vyacheslav Yu. 7 Urquhart, Alasdair 7 Wille, Rudolf 6 Adaricheva, Kira Vladislavovna 6 Bandelt, Hans-Jürgen 6 Chen, Chuan-Chong 6 Day, Alan 6 Droste, Manfred 6 Fleischer, Isidore 6 Gorbunov, Viktor Aleksandrovich 6 Gumm, Heinz-Peter 6 Gusev, Sergeĭ Valentinovich 6 Guttmann, Walter 6 Järvinen, Jouni 6 Kharat, Vilas S. 6 Länger, Helmut M. 6 Ledda, Antonio 6 Libkin, Leonid O. 6 McNulty, George F. 6 Mesiar, Radko 6 Moraschini, Tommaso 6 Rosenberg, Ivo G. 6 Schwidefsky, Marina V. 6 Vogler, Heiko 6 Weber, Hans Josef Karl 6 Zembery, Ivan ...and 1,614 more Authors all top 5 Cited in 244 Serials 440 Algebra Universalis 85 Order 80 Fuzzy Sets and Systems 73 Discrete Mathematics 66 Mathematica Slovaca 65 Czechoslovak Mathematical Journal 65 Theoretical Computer Science 64 Journal of Algebra 49 Proceedings of the American Mathematical Society 47 Journal of Pure and Applied Algebra 42 Semigroup Forum 40 Information Sciences 39 Soft Computing 38 Transactions of the American Mathematical Society 37 Studia Logica 31 Algebra and Logic 29 Acta Mathematica Hungarica 23 Acta Mathematica Academiae Scientiarum Hungaricae 23 Mathematische Zeitschrift 20 Discrete Applied Mathematics 20 Asian-European Journal of Mathematics 19 Topology and its Applications 19 Annals of Pure and Applied Logic 16 Periodica Mathematica Hungarica 15 Acta Universitatis Palackianae Olomucensis. 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New Series 3 Quaestiones Mathematicae 3 RAIRO, Informatique Théorique 3 Bulletin of the Section of Logic 3 Journal of Symbolic Computation 3 Journal of Automated Reasoning 3 Mathematical Logic Quarterly (MLQ) 3 Algebras and Representation Theory 3 Lobachevskii Journal of Mathematics 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Journal of Intelligent and Fuzzy Systems 3 Journal of Applied Logic 3 Bulletin of the American Mathematical Society ...and 144 more Serials all top 5 Cited in 49 Fields 1,250 Order, lattices, ordered algebraic structures (06-XX) 695 General algebraic systems (08-XX) 425 Mathematical logic and foundations (03-XX) 247 Computer science (68-XX) 238 Group theory and generalizations (20-XX) 136 Combinatorics (05-XX) 130 Category theory; homological algebra (18-XX) 96 Associative rings and algebras (16-XX) 92 General topology (54-XX) 33 Commutative algebra (13-XX) 30 Quantum theory (81-XX) 29 Measure and integration (28-XX) 29 Geometry (51-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Convex and discrete geometry (52-XX) 20 Functional analysis (46-XX) 19 Algebraic geometry (14-XX) 18 Operations research, mathematical programming (90-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Information and communication theory, circuits (94-XX) 12 Biology and other natural sciences (92-XX) 11 Nonassociative rings and algebras (17-XX) 11 Probability theory and stochastic processes (60-XX) 10 History and biography (01-XX) 8 Number theory (11-XX) 8 Field theory and polynomials (12-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Difference and functional equations (39-XX) 6 Topological groups, Lie groups (22-XX) 6 Operator theory (47-XX) 6 Manifolds and cell complexes (57-XX) 6 Statistics (62-XX) 5 Systems theory; control (93-XX) 3 \(K\)-theory (19-XX) 3 Real functions (26-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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