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Preston, Gordon B.

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Author ID: preston.gordon-b Recent zbMATH articles by "Preston, Gordon B."
Published as: Preston, G. B.; Preston, Gordon B.; Preston, Gordon
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Documents Indexed: 41 Publications since 1954, including 5 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 2,333 times in 2,143 Documents Cited by Year
The algebraic theory of semigroups. Vol. I. Zbl 0111.03403
Clifford, A. H.; Preston, G. B.
1961
The algebraic theory of semigroups. Vol. 2. Zbl 0178.01203
Clifford, A. H.; Preston, G. B.
353
1967
Inverse semigroups. Zbl 0056.01903
Preston, G. B.
47
1954
Representations of inverse semi-groups. Zbl 0056.02001
Preston, G. B.
31
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 0242.20062
Clifford, A. H.; Preston, G. B.
19
1972
Congruences on completely 0-simple semigroups. Zbl 0097.25203
Preston, G. B.
15
1961
Matrix representations of inverse semigroups. Zbl 0185.04701
Preston, G. B.
14
1969
Congruences on Brandt semigroups. Zbl 0092.01803
Preston, G. B.
11
1961
Embedding any semi-group in a \(D\)-simple semigroup. Zbl 0090.24302
Preston, G. B.
10
1959
Inverse semi-groups with minimal right ideals. Zbl 0056.01904
Preston, G. B.
9
1954
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 0238.20076
Clifford, A. H.; Preston, G. B.
9
1972
Matrix representations of semigroups. Zbl 0094.24301
Preston, G. B.
8
1958
Inverse semigroups: some open questions. Zbl 0356.20058
Preston, G. B.
7
1973
Semidirect products of semigroups. Zbl 0602.20053
Preston, G. B.
7
1986
Free inverse semigroups. Zbl 0274.20088
Preston, G. B.
6
1973
A. H. Clifford: An appreciation of his work on the occasion of his sixty- fifth birthday. Zbl 0275.01014
Preston, G. B.
6
1974
Abstract linear dependence relations. Zbl 0106.01802
Bleicher, M. N.; Preston, G. B.
4
1961
Redei’s characterization of congruences on finitely generated free commutative semigroups. Zbl 0338.20070
Preston, G. B.
4
1975
Representations of inverse semigroups by one-to-one partial transformations of a set. Zbl 0262.20084
Preston, G. B.
4
1973
A characterization of inaccessible cardinals. Zbl 0119.25404
Preston, G. B.
3
1962
Personal reminiscences of the early history of semigroups. Zbl 1038.01504
Preston, G. B.
3
1991
Free products amalgamating unitary subsemigroups. Zbl 0353.20046
Preston, G. B.
3
1976
Any group is a maximal subgroup of the semigroup of binary relations on some set. Zbl 0253.20092
Preston, G. B.
3
1973
Monogenic inverse semigroups. Zbl 0596.20050
Preston, G. B.
3
1986
A note on representations of inverse semigroups. Zbl 0080.24502
Preston, G. B.
2
1958
Semigroups and graphs. Zbl 0564.05034
Preston, G. B.
2
1980
A. H. Clifford’s work on unions of groups. Zbl 0931.01017
Preston, Gordon
1
1996
The arithmetic of a lattice of sub-algebras of a general algebra. Zbl 0055.02404
Preston, G. B.
1
1954
Products of inverse semigroups. Zbl 0847.20060
Preston, G. B.
1
1995
Divisibility of binary relations. Zbl 0217.06802
Fitz-Gerald, D. G.; Preston, G. B.
1
1971
Addendum to ‘Representations of inverse semigroups by one-to-one partial transformations of a set’. Zbl 0281.20056
Preston, G. B.
1
1974
Products of semigroups. Zbl 1075.20508
Preston, G. B.
1
1993
Chains of congruences on a completely 0-simple semigroup. Zbl 0144.01104
Preston, G. B.
1
1965
A. H. Clifford’s work on unions of groups. Zbl 0931.01017
Preston, Gordon
1
1996
Products of inverse semigroups. Zbl 0847.20060
Preston, G. B.
1
1995
Products of semigroups. Zbl 1075.20508
Preston, G. B.
1
1993
Personal reminiscences of the early history of semigroups. Zbl 1038.01504
Preston, G. B.
3
1991
Semidirect products of semigroups. Zbl 0602.20053
Preston, G. B.
7
1986
Monogenic inverse semigroups. Zbl 0596.20050
Preston, G. B.
3
1986
Semigroups and graphs. Zbl 0564.05034
Preston, G. B.
2
1980
Free products amalgamating unitary subsemigroups. Zbl 0353.20046
Preston, G. B.
3
1976
Redei’s characterization of congruences on finitely generated free commutative semigroups. Zbl 0338.20070
Preston, G. B.
4
1975
A. H. Clifford: An appreciation of his work on the occasion of his sixty- fifth birthday. Zbl 0275.01014
Preston, G. B.
6
1974
Addendum to ‘Representations of inverse semigroups by one-to-one partial transformations of a set’. Zbl 0281.20056
Preston, G. B.
1
1974
Inverse semigroups: some open questions. Zbl 0356.20058
Preston, G. B.
7
1973
Free inverse semigroups. Zbl 0274.20088
Preston, G. B.
6
1973
Representations of inverse semigroups by one-to-one partial transformations of a set. Zbl 0262.20084
Preston, G. B.
4
1973
Any group is a maximal subgroup of the semigroup of binary relations on some set. Zbl 0253.20092
Preston, 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 0242.20062
Clifford, 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 0238.20076
Clifford, A. H.; Preston, G. B.
9
1972
Divisibility of binary relations. Zbl 0217.06802
Fitz-Gerald, D. G.; Preston, G. B.
1
1971
Matrix representations of inverse semigroups. Zbl 0185.04701
Preston, G. B.
14
1969
The algebraic theory of semigroups. Vol. 2. Zbl 0178.01203
Clifford, A. H.; Preston, G. B.
353
1967
Chains of congruences on a completely 0-simple semigroup. Zbl 0144.01104
Preston, G. B.
1
1965
A characterization of inaccessible cardinals. Zbl 0119.25404
Preston, G. B.
3
1962
The algebraic theory of semigroups. Vol. I. Zbl 0111.03403
Clifford, A. H.; Preston, G. B.
1961
Congruences on completely 0-simple semigroups. Zbl 0097.25203
Preston, G. B.
15
1961
Congruences on Brandt semigroups. Zbl 0092.01803
Preston, G. B.
11
1961
Abstract linear dependence relations. Zbl 0106.01802
Bleicher, M. N.; Preston, G. B.
4
1961
Embedding any semi-group in a \(D\)-simple semigroup. Zbl 0090.24302
Preston, G. B.
10
1959
Matrix representations of semigroups. Zbl 0094.24301
Preston, G. B.
8
1958
A note on representations of inverse semigroups. Zbl 0080.24502
Preston, G. B.
2
1958
Inverse semigroups. Zbl 0056.01903
Preston, G. B.
47
1954
Representations of inverse semi-groups. Zbl 0056.02001
Preston, G. B.
31
1954
Inverse semi-groups with minimal right ideals. Zbl 0056.01904
Preston, G. B.
9
1954
The arithmetic of a lattice of sub-algebras of a general algebra. Zbl 0055.02404
Preston, G. B.
1
1954
all top 5

Cited by 1,321 Authors

43 Tamura, Takayuki
33 Petrich, Mario
28 Putcha, Mohan S.
24 Steinberg, Benjamin
23 Kehayopulu, Niovi
22 Okniński, Jan
20 Jones, Peter R.
18 Sullivan, Robert Patrick
18 Volkov, Mikhail Vladimirovich
17 Margolis, Stuart W.
17 Pastijn, Francis J.
17 Pondělíček, Bedřich
17 Rhodes, John Lewis
17 Schein, Boris M.
16 Kelarev, Andrei Vladimirovich
16 Kim, Ki Hang
16 Magill, Kenneth D. jun.
15 Jespers, Eric
15 Lajos, Sandor
15 Meakin, John C.
14 Gutik, Oleg Volodymyrovych
14 Kozhukhov, Igor’ Borisovich
14 Lallement, Gerard J.
14 McAlister, Donald B.
14 Shum, Kar-Ping
13 Reilly, Norman R.
13 Schwarz, Štefan
13 Warne, R. J.
12 East, James
12 Fountain, John Barringham
12 Grillet, Pierre Antoine
12 Levi, Inessa
12 Tsingelis, Michael
11 Clifford, Alfred H.
11 Guo, Xiaojiang
11 Munn, Walter Douglas
11 Sapir, Mark Valentinovich
11 Thierrin, Gabriel
11 Trotter, Peter G.
11 Varisco, Ada
11 Weinert, Hanns Joachim
10 Nordahl, Thomas E.
10 Yamada, Miyuki
9 Birget, Jean-Camille
9 Dehornoy, Patrick
9 Dolinka, Igor
9 Geroldinger, Alfred
9 Gould, Victoria A. R.
9 Gray, Robert D.
9 Jürgensen, Helmut
9 Kambites, Mark
9 Kim, Jinbai
9 Koubek, Vaclav
9 Mukherjea, Arunava
9 O’Carroll, Liam
9 Satyanarayana, M. Venkata
8 Almeida, Jorge
8 Easdown, David
8 Higgins, Peter Michael
8 Howie, John Mackintosh
8 Khan, Noor Mohammad
8 Kuroki, Nobuaki
8 Madison, Bernard L.
8 Mitsch, Heinz
8 Scheiblich, H. E.
8 Tserpes, Nicolas A.
7 Cherubini, Alessandra Spoletini
7 Friedberg, Michael
7 Hofmann, Karl Heinrich
7 Lawson, Jimmie Don
7 Lawson, Mark Verus
7 Nambooripad, K. S. Subramonian
7 Nico, William R.
7 Perrin, Dominique
7 Plemmons, Robert James
7 Ruppert, Wolfgang A. F.
7 Saito, Toru
7 Sanwong, Jintana
7 Shoji, Kunitaka
7 Steinfeld, Ottó
7 Tilson, Bret R.
7 Venkatesan, P. S.
7 Vetterlein, Thomas
6 Auinger, Karl
6 Bogdanović, Stojan M.
6 Byleen, Karl E.
6 Cain, Alan J.
6 Chrislock, J. L.
6 Ćirić, Miroslav D.
6 de Luca, Aldo
6 Demlová, Marie
6 Eberhart, Carl
6 Fabrici, Imrich
6 Hickey, John B.
6 Hollings, Christopher David
6 Luo, Yan Feng
6 Maxson, Carlton J.
6 McFadden, Robert B.
6 Mendes-Gonçalves, Suzana
6 Mikhalëv, Aleksandr Vasil’evich
...and 1,221 more Authors
all top 5

Cited in 213 Serials

659 Semigroup Forum
159 Journal of Algebra
93 Transactions of the American Mathematical Society
90 Czechoslovak Mathematical Journal
62 Proceedings of the American Mathematical Society
58 Proceedings of the Japan Academy
55 Communications in Algebra
48 Journal of Pure and Applied Algebra
31 Journal of Mathematical Sciences (New York)
29 Bulletin of the Australian Mathematical Society
28 Journal of the Australian Mathematical Society
26 Algebra Universalis
25 Siberian Mathematical Journal
24 Mathematica Slovaca
22 International Journal of Algebra and Computation
21 Acta Mathematica Academiae Scientiarum Hungaricae
19 Mathematical Notes
19 Mathematische Zeitschrift
19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
18 Theoretical Computer Science
18 Linear Algebra and its Applications
17 Glasgow Mathematical Journal
17 Proceedings of the Edinburgh Mathematical Society. Series II
17 Matematický Časopis, Slovenskej Akadémie Vied
16 Mathematical Systems Theory
14 Lobachevskii Journal of Mathematics
13 Asian-European Journal of Mathematics
12 Archiv der Mathematik
12 Acta Mathematica Hungarica
12 Bulletin of the American Mathematical Society
11 Israel Journal of Mathematics
11 Ukrainian Mathematical Journal
11 Fuzzy Sets and Systems
10 Discrete Mathematics
10 Periodica Mathematica Hungarica
10 Algebra and Logic
10 Mathematische Annalen
10 Topology and its Applications
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Advances in Mathematics
9 Monatshefte für Mathematik
9 Proceedings of the Japan Academy. Series A
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
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Russian Mathematics
6 Open Mathematics
5 Rocky Mountain Journal of Mathematics
5 Compositio Mathematica
5 Computing
5 Information Sciences
5 Journal of Combinatorial Theory. Series A
5 Quaestiones Mathematicae
5 RAIRO, Informatique Théorique
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Journal of Algebra and its Applications
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 Order
4 Journal of Symbolic Computation
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 Bulletin of the Iranian Mathematical Society
3 Forum Mathematicum
3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
3 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică
3 Cybernetics and Systems Analysis
3 Algebra Colloquium
3 Journal of the European Mathematical Society (JEMS)
3 Acta Mathematica Sinica. English Series
3 Bulletin de la Société Mathématique de France. Supplément. Mémoires
3 European Journal of Pure and Applied Mathematics
3 Carpathian Mathematical Publications
3 European Journal of Mathematics
2 Journal of Mathematical Biology
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
2 Journal of Mathematical Psychology
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Mathematika
2 Memoirs of the American Mathematical Society
2 Studia Logica
2 Information and Computation
2 Journal of Theoretical Probability
2 Aequationes Mathematicae
2 International Journal of Computer Mathematics
2 Acta Mathematica Sinica. New Series
2 Journal of Algebraic Combinatorics
...and 113 more Serials
all top 5

Cited in 51 Fields

1,598 Group theory and generalizations (20-XX)
213 Order, lattices, ordered algebraic structures (06-XX)
206 Associative rings and algebras (16-XX)
193 General algebraic systems (08-XX)
126 Topological groups, Lie groups (22-XX)
110 Computer science (68-XX)
68 Combinatorics (05-XX)
67 Category theory; homological algebra (18-XX)
62 Mathematical logic and foundations (03-XX)
55 Linear and multilinear algebra; matrix theory (15-XX)
53 General topology (54-XX)
48 Functional analysis (46-XX)
45 Abstract harmonic analysis (43-XX)
28 Number theory (11-XX)
26 Commutative algebra (13-XX)
26 Operator theory (47-XX)
26 Probability theory and stochastic processes (60-XX)
23 Information and communication theory, circuits (94-XX)
20 History and biography (01-XX)
15 Nonassociative rings and algebras (17-XX)
13 Algebraic geometry (14-XX)
12 Dynamical systems and ergodic theory (37-XX)
12 Manifolds and cell complexes (57-XX)
10 Quantum theory (81-XX)
9 Convex and discrete geometry (52-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 \(K\)-theory (19-XX)
6 Measure and integration (28-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 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 Geometry (51-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 Differential geometry (53-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

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