Edit Profile (opens in new tab) Preston, Gordon B. Compute Distance To: Compute Author ID: preston.gordon-b Published as: Preston, G. B.; Preston, Gordon B.; Preston, Gordon more...less External Links: MacTutor · MGP · Wikidata · IdRef Documents Indexed: 40 Publications since 1954, including 4 Books 1 Contribution as Editor Biographic References: 2 Publications Co-Authors: 4 Co-Authors with 7 Joint Publications 43 Co-Co-Authors Co-Authors 34 single-authored 4 Clifford, Alfred H. 2 Shevrin, Lev Naumovich 1 Bleicher, Michael N. 1 FitzGerald, Desmond G. 1 Jones, Peter R. all top 5 Serials 5 Journal of the London Mathematical Society 4 Semigroup Forum 3 Bulletin of the Australian Mathematical Society 3 Journal of the Australian Mathematical Society 2 Proceedings of the Glasgow Mathematical Association 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Collectanea Mathematica 1 Glasgow Mathematical Journal 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publicationes Mathematicae Debrecen 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Transactions of the American Mathematical Society 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mathematical Surveys all top 5 Fields 24 Group theory and generalizations (20-XX) 3 History and biography (01-XX) 2 General algebraic systems (08-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 2,490 times in 2,265 Documents Cited by ▼ Year ▼ The algebraic theory of semigroups. Vol. I. Zbl 0111.03403Clifford, A. H.; Preston, G. B. 1,854 1961 The algebraic theory of semigroups. Vol. 2. Zbl 0178.01203Clifford, A. H.; Preston, G. B. 388 1967 Inverse semigroups. Zbl 0056.01903Preston, G. B. 49 1954 Representations of inverse semi-groups. Zbl 0056.02001Preston, G. B. 32 1954 The algebraic thery of semigroups. Vol. II. Translation from the English by V. A. Baranskiĭ. Edited by L. N. Shevrin. (Алгебраическая теория полугрупп. Том 2.) Zbl 0242.20062Clifford, A. H.; Preston, G. B. 19 1972 Congruences on completely 0-simple semigroups. Zbl 0097.25203Preston, G. B. 15 1961 Matrix representations of inverse semigroups. Zbl 0185.04701Preston, G. B. 15 1969 Congruences on Brandt semigroups. Zbl 0092.01803Preston, G. B. 11 1961 The algebraic theory of semigroups. Volume 1. Translated from the English by V. A. Baranskiĭ and V. G. Zitomirskiĭ. Edited by L. N. Shevrin. (Алгебраическая теория полугрупп. Том 1.) Zbl 0238.20076Clifford, A. H.; Preston, G. B. 10 1972 Inverse semi-groups with minimal right ideals. Zbl 0056.01904Preston, G. B. 10 1954 Embedding any semi-group in a \(D\)-simple semigroup. Zbl 0090.24302Preston, G. B. 10 1959 Semidirect products of semigroups. Zbl 0602.20053Preston, G. B. 9 1986 A. H. Clifford: An appreciation of his work on the occasion of his sixty- fifth birthday. Zbl 0275.01014Preston, G. B. 8 1974 Matrix representations of semigroups. Zbl 0094.24301Preston, G. B. 8 1958 Inverse semigroups: some open questions. Zbl 0356.20058Preston, G. B. 7 1973 Free inverse semigroups. Zbl 0274.20088Preston, G. B. 6 1973 Free products amalgamating unitary subsemigroups. Zbl 0353.20046Preston, G. B. 4 1976 Redei’s characterization of congruences on finitely generated free commutative semigroups. Zbl 0338.20070Preston, G. B. 4 1975 Representations of inverse semigroups by one-to-one partial transformations of a set. Zbl 0262.20084Preston, G. B. 4 1973 Abstract linear dependence relations. Zbl 0106.01802Bleicher, M. N.; Preston, G. B. 4 1961 Monogenic inverse semigroups. Zbl 0596.20050Preston, G. B. 3 1986 Any group is a maximal subgroup of the semigroup of binary relations on some set. Zbl 0253.20092Preston, G. B. 3 1973 Personal reminiscences of the early history of semigroups. Zbl 1038.01504Preston, G. B. 3 1991 A characterization of inaccessible cardinals. Zbl 0119.25404Preston, G. B. 3 1962 Semigroups and graphs. Zbl 0564.05034Preston, G. B. 2 1980 A note on representations of inverse semigroups. Zbl 0080.24502Preston, G. B. 2 1958 Products of semigroups. Zbl 1075.20508Preston, G. B. 1 1993 Divisibility of binary relations. Zbl 0217.06802Fitz-Gerald, D. G.; Preston, G. B. 1 1971 Addendum to ‘Representations of inverse semigroups by one-to-one partial transformations of a set’. Zbl 0281.20056Preston, G. B. 1 1974 Products of inverse semigroups. Zbl 0847.20060Preston, G. B. 1 1995 A. H. Clifford’s work on unions of groups. Zbl 0931.01017Preston, Gordon 1 1996 The arithmetic of a lattice of sub-algebras of a general algebra. Zbl 0055.02404Preston, G. B. 1 1954 Chains of congruences on a completely 0-simple semigroup. Zbl 0144.01104Preston, G. B. 1 1965 A. H. Clifford’s work on unions of groups. Zbl 0931.01017Preston, Gordon 1 1996 Products of inverse semigroups. Zbl 0847.20060Preston, G. B. 1 1995 Products of semigroups. Zbl 1075.20508Preston, G. B. 1 1993 Personal reminiscences of the early history of semigroups. Zbl 1038.01504Preston, G. B. 3 1991 Semidirect products of semigroups. Zbl 0602.20053Preston, G. B. 9 1986 Monogenic inverse semigroups. Zbl 0596.20050Preston, G. B. 3 1986 Semigroups and graphs. Zbl 0564.05034Preston, G. B. 2 1980 Free products amalgamating unitary subsemigroups. Zbl 0353.20046Preston, G. B. 4 1976 Redei’s characterization of congruences on finitely generated free commutative semigroups. Zbl 0338.20070Preston, G. B. 4 1975 A. H. Clifford: An appreciation of his work on the occasion of his sixty- fifth birthday. Zbl 0275.01014Preston, G. B. 8 1974 Addendum to ‘Representations of inverse semigroups by one-to-one partial transformations of a set’. Zbl 0281.20056Preston, G. B. 1 1974 Inverse semigroups: some open questions. Zbl 0356.20058Preston, G. B. 7 1973 Free inverse semigroups. Zbl 0274.20088Preston, G. B. 6 1973 Representations of inverse semigroups by one-to-one partial transformations of a set. Zbl 0262.20084Preston, G. B. 4 1973 Any group is a maximal subgroup of the semigroup of binary relations on some set. Zbl 0253.20092Preston, G. B. 3 1973 The algebraic thery of semigroups. Vol. II. Translation from the English by V. A. Baranskiĭ. Edited by L. N. Shevrin. (Алгебраическая теория полугрупп. Том 2.) Zbl 0242.20062Clifford, A. H.; Preston, G. B. 19 1972 The algebraic theory of semigroups. Volume 1. Translated from the English by V. A. Baranskiĭ and V. G. Zitomirskiĭ. Edited by L. N. Shevrin. (Алгебраическая теория полугрупп. Том 1.) Zbl 0238.20076Clifford, A. H.; Preston, G. B. 10 1972 Divisibility of binary relations. Zbl 0217.06802Fitz-Gerald, D. G.; Preston, G. B. 1 1971 Matrix representations of inverse semigroups. Zbl 0185.04701Preston, G. B. 15 1969 The algebraic theory of semigroups. Vol. 2. Zbl 0178.01203Clifford, A. H.; Preston, G. B. 388 1967 Chains of congruences on a completely 0-simple semigroup. Zbl 0144.01104Preston, G. B. 1 1965 A characterization of inaccessible cardinals. Zbl 0119.25404Preston, G. B. 3 1962 The algebraic theory of semigroups. Vol. I. Zbl 0111.03403Clifford, A. H.; Preston, G. B. 1,854 1961 Congruences on completely 0-simple semigroups. Zbl 0097.25203Preston, G. B. 15 1961 Congruences on Brandt semigroups. Zbl 0092.01803Preston, G. B. 11 1961 Abstract linear dependence relations. Zbl 0106.01802Bleicher, M. N.; Preston, G. B. 4 1961 Embedding any semi-group in a \(D\)-simple semigroup. Zbl 0090.24302Preston, G. B. 10 1959 Matrix representations of semigroups. Zbl 0094.24301Preston, G. B. 8 1958 A note on representations of inverse semigroups. Zbl 0080.24502Preston, G. B. 2 1958 Inverse semigroups. Zbl 0056.01903Preston, G. B. 49 1954 Representations of inverse semi-groups. Zbl 0056.02001Preston, G. B. 32 1954 Inverse semi-groups with minimal right ideals. Zbl 0056.01904Preston, G. B. 10 1954 The arithmetic of a lattice of sub-algebras of a general algebra. Zbl 0055.02404Preston, G. B. 1 1954 all cited Publications top 5 cited Publications all top 5 Cited by 1,426 Authors 43 Tamura, Takayuki 33 Petrich, Mario 28 Putcha, Mohan S. 27 Steinberg, Benjamin 26 Kehayopulu, Niovi 22 Okniński, Jan 22 Volkov, Mikhail Vladimirovich 20 Jones, Peter R. 18 Margolis, Stuart W. 18 Schein, Boris M. 18 Sullivan, Robert Patrick 17 Meakin, John C. 17 Pastijn, Francis J. 17 Pondělíček, Bedřich 17 Rhodes, John Lewis 16 East, James 16 Gutik, Oleg Volodymyrovych 16 Jespers, Eric 16 Kelarev, Andrei Vladimirovich 16 Kim, Ki Hang 16 Magill, Kenneth D. jun. 15 Kozhukhov, Igor’ Borisovich 15 Lajos, Sandor 15 Shum, Kar-Ping 14 Guo, Xiaojiang 14 Lallement, Gerard J. 14 McAlister, Donald B. 14 Ruškuc, Nik 13 Gould, Victoria A. R. 13 Reilly, Norman R. 13 Schwarz, Štefan 13 Tsingelis, Michael 13 Warne, R. J. 12 Fountain, John Barringham 12 Grillet, Pierre Antoine 12 Khan, Noor Mohammad 12 Levi, Inessa 11 Cherubini, Alessandra 11 Clifford, Alfred H. 11 Munn, Walter Douglas 11 Sapir, Mark Valentinovich 11 Thierrin, Gabriel 11 Trotter, Peter G. 11 Varisco, Ada 10 Almeida, Jorge 10 Dolinka, Igor 10 Gray, Robert D. 10 Kambites, Mark 10 Kuroki, Nobuaki 10 Nordahl, Thomas E. 10 Weinert, Hanns Joachim 10 Yamada, Miyuki 9 Birget, Jean-Camille 9 Dehornoy, Patrick 9 Geroldinger, Alfred 9 Jürgensen, Helmut 9 Kim, Jinbai 9 Koubek, Vaclav 9 Mukherjea, Arunava 9 O’Carroll, Liam 8 Azeef Muhammed, P. A. 8 Catino, Francesco 8 Easdown, David 8 Higgins, Peter Michael 8 Howie, John Mackintosh 8 Madison, Bernard L. 8 Mitsch, Heinz 8 Ruppert, Wolfgang A. F. 8 Satyanarayana, M. Venkata 8 Scheiblich, H. E. 8 Tserpes, Nicolas A. 7 Auinger, Karl 7 Banakh, Taras Onufrievich 7 Friedberg, Michael 7 Guo, Junying 7 Hofmann, Karl Heinrich 7 Lawson, Jimmie Don 7 Lawson, Mark Verus 7 Mendes-Gonçalves, Suzana 7 Nambooripad, K. S. Subramonian 7 Nico, William R. 7 Perrin, Dominique 7 Plemmons, Robert James 7 Rajan, Arangath Raghavan 7 Saito, Toru 7 Sanwong, Jintana 7 Shoji, Kunitaka 7 Steinfeld, Ottó 7 Tilson, Bret R. 7 Venkatesan, P. S. 7 Vetterlein, Thomas 6 Bardyla, Serhii 6 Bogdanović, Stojan M. 6 Byleen, Karl E. 6 Cain, Alan J. 6 Chinram, Ronnason 6 Chrislock, J. L. 6 Ćirić, Miroslav D. 6 de Luca, Aldo 6 Dokuchaev, Mikhailo ...and 1,326 more Authors all top 5 Cited in 237 Serials 661 Semigroup Forum 171 Journal of Algebra 93 Transactions of the American Mathematical Society 90 Czechoslovak Mathematical Journal 62 Proceedings of the American Mathematical Society 61 Communications in Algebra 58 Proceedings of the Japan Academy 52 Journal of Pure and Applied Algebra 33 Journal of Mathematical Sciences (New York) 30 Bulletin of the Australian Mathematical Society 29 Journal of the Australian Mathematical Society 26 Algebra Universalis 26 Siberian Mathematical Journal 26 International Journal of Algebra and Computation 25 Mathematica Slovaca 21 Acta Mathematica Academiae Scientiarum Hungaricae 20 Mathematische Zeitschrift 19 Mathematical Notes 19 Linear Algebra and its Applications 19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 18 Theoretical Computer Science 17 Glasgow Mathematical Journal 17 Proceedings of the Edinburgh Mathematical Society. Series II 17 Matematický Časopis, Slovenskej Akadémie Vied 17 Asian-European Journal of Mathematics 16 Mathematical Systems Theory 16 Lobachevskii Journal of Mathematics 15 Fuzzy Sets and Systems 13 Acta Mathematica Hungarica 12 Ukrainian Mathematical Journal 12 Archiv der Mathematik 12 Bulletin of the American Mathematical Society 11 Discrete Mathematics 11 Israel Journal of Mathematics 11 Periodica Mathematica Hungarica 11 Algebra and Logic 10 Advances in Mathematics 10 Mathematische Annalen 10 Monatshefte für Mathematik 10 Topology and its Applications 10 Open Mathematics 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Proceedings of the Japan Academy. Series A 8 Information Sciences 8 Journal of Functional Analysis 8 Results in Mathematics 8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 8 Algebras and Representation Theory 7 Acta Informatica 7 International Journal of Mathematics and Mathematical Sciences 7 Turkish Journal of Mathematics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Russian Mathematics 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Journal of Algebra and its Applications 5 Rocky Mountain Journal of Mathematics 5 Compositio Mathematica 5 Computing 5 Journal of Combinatorial Theory. Series A 5 Quaestiones Mathematicae 5 RAIRO, Informatique Théorique 5 Forum Mathematicum 4 Archive for History of Exact Sciences 4 Theoretical and Mathematical Physics 4 Journal of Computer and System Sciences 4 Journal of Soviet Mathematics 4 Cybernetics 4 Bulletin of the Iranian Mathematical Society 4 Order 4 Journal of Symbolic Computation 4 Acta Mathematica Sinica. English Series 4 Algebra and Discrete Mathematics 4 Matematicko-Fyzikálny Časopis, Slovenskej Akadémie Vied 3 Communications in Mathematical Physics 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Mathematical Analysis and Applications 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Bulletin de la Société Mathématique de France 3 Functional Analysis and its Applications 3 Memoirs of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 3 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 3 Cybernetics and Systems Analysis 3 Algebra Colloquium 3 Filomat 3 Journal of the European Mathematical Society (JEMS) 3 Mediterranean Journal of Mathematics 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 European Journal of Pure and Applied Mathematics 3 Carpathian Mathematical Publications 3 Topological Algebra and its Applications 3 Journal of Algebra and Related Topics 3 European Journal of Mathematics 2 Artificial Intelligence 2 Journal of Mathematical Biology 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Colloquium Mathematicum 2 Journal of Mathematical Psychology 2 Kyungpook Mathematical Journal 2 Manuscripta Mathematica ...and 137 more Serials all top 5 Cited in 51 Fields 1,693 Group theory and generalizations (20-XX) 228 Associative rings and algebras (16-XX) 222 Order, lattices, ordered algebraic structures (06-XX) 204 General algebraic systems (08-XX) 133 Topological groups, Lie groups (22-XX) 117 Computer science (68-XX) 80 Combinatorics (05-XX) 75 Category theory; homological algebra (18-XX) 70 Mathematical logic and foundations (03-XX) 61 Linear and multilinear algebra; matrix theory (15-XX) 60 General topology (54-XX) 50 Functional analysis (46-XX) 45 Abstract harmonic analysis (43-XX) 29 Number theory (11-XX) 28 Commutative algebra (13-XX) 26 Operator theory (47-XX) 26 Probability theory and stochastic processes (60-XX) 21 History and biography (01-XX) 21 Information and communication theory, circuits (94-XX) 18 Nonassociative rings and algebras (17-XX) 15 Algebraic geometry (14-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Quantum theory (81-XX) 12 Manifolds and cell complexes (57-XX) 11 Convex and discrete geometry (52-XX) 7 \(K\)-theory (19-XX) 7 Measure and integration (28-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General and overarching topics; collections (00-XX) 6 Field theory and polynomials (12-XX) 6 Algebraic topology (55-XX) 5 Numerical analysis (65-XX) 4 Difference and functional equations (39-XX) 4 Biology and other natural sciences (92-XX) 3 Geometry (51-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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