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Preston, Gordon B. (b. 1925 d. 2015)

Author ID: preston.gordon-b Recent zbMATH articles by "Preston, Gordon B."
Published as: Preston, G. B.; Preston, Gordon B.; Preston, Gordon
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
46 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 2,740 times in 2,485 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.
449
1967
Inverse semigroups. Zbl 0056.01903
Preston, G. B.
54
1954
Representations of inverse semi-groups. Zbl 0056.02001
Preston, G. B.
35
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.
20
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.
15
1969
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.
12
1972
Congruences on Brandt semigroups. Zbl 0092.01803
Preston, G. B.
11
1961
Inverse semi-groups with minimal right ideals. Zbl 0056.01904
Preston, G. B.
11
1954
Semidirect products of semigroups. Zbl 0602.20053
Preston, G. B.
10
1986
Embedding any semi-group in a \(D\)-simple semigroup. Zbl 0090.24302
Preston, G. B.
10
1959
A. H. Clifford: An appreciation of his work on the occasion of his sixty- fifth birthday. Zbl 0275.01014
Preston, G. B.
9
1974
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
Free inverse semigroups. Zbl 0274.20088
Preston, G. B.
6
1973
Monogenic inverse semigroups. Zbl 0596.20050
Preston, G. B.
4
1986
Representations of inverse semigroups by one-to-one partial transformations of a set. Zbl 0262.20084
Preston, G. B.
4
1973
Redei’s characterization of congruences on finitely generated free commutative semigroups. Zbl 0338.20070
Preston, G. B.
4
1975
Free products amalgamating unitary subsemigroups. Zbl 0353.20046
Preston, G. B.
4
1976
Abstract linear dependence relations. Zbl 0106.01802
Bleicher, M. N.; Preston, G. B.
4
1961
Personal reminiscences of the early history of semigroups. Zbl 1038.01504
Preston, G. B.
3
1991
A characterization of inaccessible cardinals. Zbl 0119.25404
Preston, G. B.
3
1962
Any group is a maximal subgroup of the semigroup of binary relations on some set. Zbl 0253.20092
Preston, G. B.
3
1973
Semigroups and graphs. Zbl 0564.05034
Preston, G. B.
2
1980
The arithmetic of a lattice of sub-algebras of a general algebra. Zbl 0055.02404
Preston, G. B.
2
1954
A note on representations of inverse semigroups. Zbl 0080.24502
Preston, G. B.
2
1958
Products of inverse semigroups. Zbl 0847.20060
Preston, G. B.
1
1995
A. H. Clifford’s work on unions of groups. Zbl 0931.01017
Preston, Gordon
1
1996
Products of semigroups. Zbl 1075.20508
Preston, G. B.
1
1993
Addendum to ‘Representations of inverse semigroups by one-to-one partial transformations of a set’. Zbl 0281.20056
Preston, G. B.
1
1974
Chains of congruences on a completely 0-simple semigroup. Zbl 0144.01104
Preston, G. B.
1
1965
Divisibility of binary relations. Zbl 0217.06802
Fitz-Gerald, D. G.; Preston, G. B.
1
1971
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.
10
1986
Monogenic inverse semigroups. Zbl 0596.20050
Preston, G. B.
4
1986
Semigroups and graphs. Zbl 0564.05034
Preston, G. B.
2
1980
Free products amalgamating unitary subsemigroups. Zbl 0353.20046
Preston, G. B.
4
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.
9
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.
20
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.
12
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.
15
1969
The algebraic theory of semigroups. Vol. 2. Zbl 0178.01203
Clifford, A. H.; Preston, G. B.
449
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.
54
1954
Representations of inverse semi-groups. Zbl 0056.02001
Preston, G. B.
35
1954
Inverse semi-groups with minimal right ideals. Zbl 0056.01904
Preston, G. B.
11
1954
The arithmetic of a lattice of sub-algebras of a general algebra. Zbl 0055.02404
Preston, G. B.
2
1954
all top 5

Cited by 1,583 Authors

46 Tamura, Takayuki
35 Petrich, Mario
29 Kehayopulu, Niovi
29 Putcha, Mohan S.
29 Steinberg, Benjamin
25 Volkov, Mikhail Vladimirovich
23 Okniński, Jan
20 East, James
20 Gutik, Oleg Volodymyrovych
20 Jones, Peter R.
19 Jespers, Eric
19 Margolis, Stuart W.
19 Sullivan, Robert Patrick
18 Meakin, John C.
18 Nagy, Attila
18 Ruškuc, Nik
18 Schein, Boris Moiseyevich
17 Kim, Ki Hang
17 Kozhukhov, Igor’ Borisovich
17 Pastijn, Francis J.
17 Pondělíček, Bedřich
17 Rhodes, John Lewis
16 Gould, Victoria A. R.
16 Guo, Xiaojiang
16 Kelarev, Andrei Vladimirovich
16 Lallement, Gerard J.
16 Magill, Kenneth D. jun.
16 Shum, Kar-Ping
15 Lajos, Sandor
15 McAlister, Donald B.
14 Tsingelis, Michael
13 Dolinka, Igor
13 Grillet, Pierre Antoine
13 Reilly, Norman R.
13 Schwarz, Štefan
13 Warne, R. J.
12 Cherubini, Alessandra
12 Clifford, Alfred H.
12 Fountain, John Barringham
12 Gray, Robert D.
12 Khan, Noor Mohammad
12 Kuroki, Nobuaki
12 Levi, Inessa
12 Thierrin, Gabriel
12 Trotter, Peter G.
11 Almeida, Jorge
11 Birget, Jean-Camille
11 Munn, Walter Douglas
11 Sapir, Mark Valentinovich
11 Varisco, Ada
11 Weinert, Hanns Joachim
10 Bardyla, Serhii
10 Jürgensen, Helmut
10 Kambites, Mark
10 Nico, William R.
10 Nordahl, Thomas E.
10 Yamada, Miyuki
9 Azeef Muhammed, P. A.
9 Cain, Alan J.
9 Catino, Francesco
9 Dehornoy, Patrick
9 Geroldinger, Alfred
9 Higgins, Peter Michael
9 Kim, Jinbai
9 Koubek, Vaclav
9 Mukherjea, Arunava
9 O’Carroll, Liam
9 Satyanarayana, M. Venkata
8 Easdown, David
8 Guo, Junying
8 Hofmann, Karl Heinrich
8 Howie, John Mackintosh
8 Madison, Bernard L.
8 Mitsch, Heinz
8 Rajan, Arangath Raghavan
8 Ruppert, Wolfgang A. F.
8 Sanwong, Jintana
8 Scheiblich, H. E.
8 Tserpes, Nicolas A.
7 Auinger, Karl
7 Banakh, Taras Onufrievich
7 Ćirić, Miroslav D.
7 Friedberg, Michael
7 Lawson, Jimmie Don
7 Lawson, Mark Verus
7 Luo, Yan Feng
7 Mendes-Gonçalves, Suzana
7 Mikhalëv, Aleksandr Vasil’evich
7 Nambooripad, K. S. Subramonian
7 Perrin, Dominique
7 Plemmons, Robert James
7 Roush, Fred William
7 Saito, Toru
7 Shoji, Kunitaka
7 Stefanelli, Paola
7 Steinfeld, Ottó
7 Tilson, Bret R.
7 Venkatesan, P. S.
7 Vetterlein, Thomas
7 Zhao, Ping
...and 1,483 more Authors
all top 5

Cited in 270 Serials

691 Semigroup Forum
201 Journal of Algebra
95 Transactions of the American Mathematical Society
90 Czechoslovak Mathematical Journal
66 Communications in Algebra
65 Journal of Pure and Applied Algebra
63 Proceedings of the American Mathematical Society
58 Proceedings of the Japan Academy
37 Journal of Mathematical Sciences (New York)
30 Bulletin of the Australian Mathematical Society
30 Journal of the Australian Mathematical Society
29 Algebra Universalis
28 International Journal of Algebra and Computation
26 Siberian Mathematical Journal
25 Mathematica Slovaca
25 Theoretical Computer Science
22 Linear Algebra and its Applications
21 Acta Mathematica Academiae Scientiarum Hungaricae
20 Fuzzy Sets and Systems
20 Mathematische Zeitschrift
19 Mathematical Notes
19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
19 Asian-European Journal of Mathematics
18 Proceedings of the Edinburgh Mathematical Society. Series II
17 Glasgow Mathematical Journal
17 Lobachevskii Journal of Mathematics
17 Matematický Časopis, Slovenskej Akadémie Vied
16 Mathematical Systems Theory
15 Acta Mathematica Hungarica
13 Open Mathematics
12 Periodica Mathematica Hungarica
12 Ukrainian Mathematical Journal
12 Advances in Mathematics
12 Algebra and Logic
12 Archiv der Mathematik
12 Turkish Journal of Mathematics
12 Bulletin of the American Mathematical Society
11 Discrete Mathematics
11 Monatshefte für Mathematik
11 Topology and its Applications
10 Israel Journal of Mathematics
10 Information Sciences
10 Journal of Computer and System Sciences
10 Journal of Functional Analysis
10 Mathematische Annalen
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Journal of Combinatorial Theory. Series A
9 Proceedings of the Japan Academy. Series A
9 Algebras and Representation Theory
8 Results in Mathematics
8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
7 Acta Informatica
7 International Journal of Mathematics and Mathematical Sciences
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Algebra and Discrete Mathematics
7 Journal of Algebra and its Applications
6 Journal of Mathematical Analysis and Applications
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Quaestiones Mathematicae
6 Russian Mathematics
5 Rocky Mountain Journal of Mathematics
5 Compositio Mathematica
5 Computing
5 RAIRO, Informatique Théorique
5 Journal of Symbolic Computation
5 Forum Mathematicum
5 Topological Algebra and its Applications
4 Archive for History of Exact Sciences
4 Communications in Mathematical Physics
4 Theoretical and Mathematical Physics
4 Journal of Mathematical Psychology
4 Journal of Soviet Mathematics
4 Memoirs of the American Mathematical Society
4 Cybernetics
4 Bulletin of the Iranian Mathematical Society
4 Order
4 Information and Computation
4 Acta Mathematica Sinica. English Series
4 Matematicko-Fyzikálny Časopis, Slovenskej Akadémie Vied
4 Journal of Algebra and Related Topics
4 Journal of Algebraic Systems
3 Indian Journal of Pure & Applied Mathematics
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Bulletin de la Société Mathématique de France
3 Functional Analysis and its Applications
3 Manuscripta Mathematica
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 Journal of Algebraic Combinatorics
3 Algebra Colloquium
3 Filomat
3 Matematychni Studiï
3 Journal of the European Mathematical Society (JEMS)
3 JP Journal of Algebra, Number Theory and Applications
3 Thai Journal of Mathematics
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
...and 170 more Serials
all top 5

Cited in 52 Fields

1,862 Group theory and generalizations (20-XX)
261 Associative rings and algebras (16-XX)
237 Order, lattices, ordered algebraic structures (06-XX)
217 General algebraic systems (08-XX)
145 Topological groups, Lie groups (22-XX)
145 Computer science (68-XX)
91 Combinatorics (05-XX)
86 Category theory; homological algebra (18-XX)
80 Mathematical logic and foundations (03-XX)
70 General topology (54-XX)
69 Linear and multilinear algebra; matrix theory (15-XX)
60 Functional analysis (46-XX)
46 Abstract harmonic analysis (43-XX)
32 Number theory (11-XX)
32 Commutative algebra (13-XX)
31 Operator theory (47-XX)
27 Probability theory and stochastic processes (60-XX)
23 Information and communication theory, circuits (94-XX)
21 History and biography (01-XX)
21 Nonassociative rings and algebras (17-XX)
16 Dynamical systems and ergodic theory (37-XX)
16 Quantum theory (81-XX)
15 Algebraic geometry (14-XX)
13 Manifolds and cell complexes (57-XX)
11 Convex and discrete geometry (52-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Measure and integration (28-XX)
7 \(K\)-theory (19-XX)
7 Algebraic topology (55-XX)
6 Field theory and polynomials (12-XX)
6 Difference and functional equations (39-XX)
6 Numerical analysis (65-XX)
5 General and overarching topics; collections (00-XX)
5 Biology and other natural sciences (92-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Integral transforms, operational calculus (44-XX)
3 Geometry (51-XX)
3 Statistics (62-XX)
3 Systems theory; control (93-XX)
2 Real functions (26-XX)
2 Differential geometry (53-XX)
1 Potential theory (31-XX)
1 Ordinary differential equations (34-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

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