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Clifford, Alfred H.

Author ID: clifford.alfred-h Recent zbMATH articles by "Clifford, Alfred H."
Published as: Clifford, A. H.; Clifford, A.; Clifford, Alfred H.
Further Spellings: Clifford, Alfred Hoblitzelle
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 73 Publications since 1931, including 4 Books
Biographic References: 10 Publications
Co-Authors: 9 Co-Authors with 15 Joint Publications
145 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 3,602 times in 3,069 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.
450
1967
Representations induced in an invariant subgroup. Zbl 0017.29705
Clifford, A. H.
154
1937
Naturally totally ordered commutative semi-groups. Zbl 0055.01503
Clifford, A. H.
134
1954
Semigroups admitting relative inverses. Zbl 0063.00920
Clifford, A. H.
132
1941
The free completely regular semigroup on a set. Zbl 0412.20049
Clifford, A. H.
45
1979
Matrix representations of completely simple semigroups. Zbl 0061.02404
Clifford, A. H.
45
1942
A class of \(d\)-simple semigroups. Zbl 0051.01302
Clifford, A. H.
42
1953
Semigroups containing minimal ideals. Zbl 0038.01103
Clifford, A. H.
38
1948
Bands of semigroups. Zbl 0055.25001
Clifford, A. H.
37
1954
Regular \({\mathcal D}\)-classes in semigroups. Zbl 0071.02001
Miller, D. D.; Clifford, A. H.
37
1956
Arithmetic and ideal theory of commutative semigroups. Zbl 0019.19401
Clifford, A. H.
34
1938
Extensions of semigroups. Zbl 0037.01001
Clifford, A. H.
33
1950
Totally ordered commutative semigroups. Zbl 0085.01402
Clifford, A. H.
31
1958
Connected ordered topological semigroups with idempotent endpoints. I. Zbl 0082.02401
Clifford, A. H.
23
1958
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
Partially ordered abelian groups. Zbl 0025.00801
Clifford, A. H.
20
1940
The fundamental representation of a regular semigroup. Zbl 0298.20052
Clifford, A. H.
19
1975
Note on Hahn’s theorem on ordered Abelian groups. Zbl 0056.25503
Clifford, A. H.
16
1954
Semigroups without nilpotent ideals. Zbl 0045.30101
Clifford, A. H.
16
1949
The structure of orthodox unions of groups. Zbl 0241.20048
Clifford, A. H.
15
1972
Semigroups having zeroid elements. Zbl 0035.29401
Clifford, A. H.; Miller, D. D.
14
1948
Basic representations of completely simple semigroups. Zbl 0101.26101
Clifford, A. H.
14
1960
Tesselations of \(S^ 2\) and equations over torsion-free groups. Zbl 0842.20030
Clifford, A.; Goldstein, R. Z.
13
1995
Union and symmetry preserving endomorphisms of the semigroups of all binary relations on a set. Zbl 0205.01901
Clifford, A. H.; Miller, D. D.
13
1970
Some classes of completely regular semigroups. Zbl 0354.20043
Clifford, A. H.; Petrich, Mario
13
1977
A system arising from a weakened set of group postulates. Zbl 0008.05002
Clifford, A. H.
13
1933
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
The structure of bisimple orthodox semigroups as ordered pairs. Zbl 0264.20046
Clifford, A. H.
12
1972
A noncommutative ordinally simple linearly ordered group. Zbl 0044.01301
Clifford, A. H.
12
1951
Bisimple inverse semigroups as semigroups of ordered triples. Zbl 0159.02602
Reilly, N. R.; Clifford, A. H.
10
1968
The structure of bisimple left unipotent semigroups as ordered pairs. Zbl 0264.20045
Clifford, A. H.
9
1972
Radicals in semigroups. Zbl 0209.04801
Clifford, A. H.
9
1970
A proof of the Montague-Plemmons-Schein theorem on maximal subgroups of the semigroup of binary relations. Zbl 0211.03902
Clifford, A. H.
8
1970
The fundamental representation of a completely regular semigroup. Zbl 0345.20060
Clifford, A. H.
7
1976
Remarks on O-minimal quasi-ideals in semigroups. Zbl 0394.20051
Clifford, A. H.
7
1978
Connected ordered topological semigroups with idempotent endpoints. II. Zbl 0088.02904
Clifford, A. H.
7
1959
The free completely regular semigroup on a set. Zbl 0462.20047
Clifford, A. H.
6
1979
Ordered commutative semigroups of the second kind. Zbl 0100.02403
Clifford, A. H.
6
1958
The partial groupoid of idempotents of a regular semigroup. Zbl 0299.20045
Clifford, A. H.
5
1975
Lattice-ordered groups having at most two disjoint elements. Zbl 0098.25101
Conrad, P. F.; Clifford, A. H.
5
1960
Completion of semi-continuous ordered commutative semigroups. Zbl 0084.25202
Clifford, A. H.
4
1959
Arithmetic and ideal theory of abstract multiplication. Zbl 0009.14903
Clifford, A. H.
4
1934
Subgroups of free groups and primitive elements. Zbl 1206.20025
Clifford, A.; Goldstein, R. Z.
4
2010
Partial homomorphic images of Brandt groupoids. Zbl 0133.27602
Clifford, A. H.
4
1965
A structure theorem for orthogroups. Zbl 0328.20054
Clifford, A. H.
3
1976
Factor-sets of a group in its abstract unit group. Zbl 0025.38904
Clifford, A. H.; MacLane, Saunders
3
1941
Partially ordered groups of the second and third kinds. Zbl 0138.26102
Clifford, A. H.
2
1966
A class of partially ordered Abelian groups related to Ky Fan’s characterizing subgroups. Zbl 0048.09102
Clifford, A. H.
2
1952
Fonctions analytiques implicites dans des espaces vectoriels abstraits. Zbl 0007.31002
Michal, A. D.; Clifford, A. H.
2
1933
Semigroups without nilpotent ideals. Zbl 0041.35706
Clifford, A. H.
2
1949
Sets of primitive elements in a free group. Zbl 1266.20038
Clifford, A.; Goldstein, R. Z.
2
2012
A characterization of \(R\)-classes of semigroups as partial groupoids. Zbl 0262.20067
Clifford, A. H.; Hall, T. E.
1
1973
Note on a double coset decomposition of semigroups due to Stefan Schwarz. Zbl 0135.04003
Clifford, A. H.
1
1963
Orthodox semigroups which are unions of groups. Zbl 0356.20056
Clifford, A. H.
1
1975
Representations induced in an invariant subgroup. Zbl 0016.01402
Clifford, A. H.
1
1937
Sets of primitive elements in a free group. Zbl 1266.20038
Clifford, A.; Goldstein, R. Z.
2
2012
Subgroups of free groups and primitive elements. Zbl 1206.20025
Clifford, A.; Goldstein, R. Z.
4
2010
Tesselations of \(S^ 2\) and equations over torsion-free groups. Zbl 0842.20030
Clifford, A.; Goldstein, R. Z.
13
1995
The free completely regular semigroup on a set. Zbl 0412.20049
Clifford, A. H.
45
1979
The free completely regular semigroup on a set. Zbl 0462.20047
Clifford, A. H.
6
1979
Remarks on O-minimal quasi-ideals in semigroups. Zbl 0394.20051
Clifford, A. H.
7
1978
Some classes of completely regular semigroups. Zbl 0354.20043
Clifford, A. H.; Petrich, Mario
13
1977
The fundamental representation of a completely regular semigroup. Zbl 0345.20060
Clifford, A. H.
7
1976
A structure theorem for orthogroups. Zbl 0328.20054
Clifford, A. H.
3
1976
The fundamental representation of a regular semigroup. Zbl 0298.20052
Clifford, A. H.
19
1975
The partial groupoid of idempotents of a regular semigroup. Zbl 0299.20045
Clifford, A. H.
5
1975
Orthodox semigroups which are unions of groups. Zbl 0356.20056
Clifford, A. H.
1
1975
A characterization of \(R\)-classes of semigroups as partial groupoids. Zbl 0262.20067
Clifford, A. H.; Hall, T. E.
1
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 structure of orthodox unions of groups. Zbl 0241.20048
Clifford, A. H.
15
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
The structure of bisimple orthodox semigroups as ordered pairs. Zbl 0264.20046
Clifford, A. H.
12
1972
The structure of bisimple left unipotent semigroups as ordered pairs. Zbl 0264.20045
Clifford, A. H.
9
1972
Union and symmetry preserving endomorphisms of the semigroups of all binary relations on a set. Zbl 0205.01901
Clifford, A. H.; Miller, D. D.
13
1970
Radicals in semigroups. Zbl 0209.04801
Clifford, A. H.
9
1970
A proof of the Montague-Plemmons-Schein theorem on maximal subgroups of the semigroup of binary relations. Zbl 0211.03902
Clifford, A. H.
8
1970
Bisimple inverse semigroups as semigroups of ordered triples. Zbl 0159.02602
Reilly, N. R.; Clifford, A. H.
10
1968
The algebraic theory of semigroups. Vol. 2. Zbl 0178.01203
Clifford, A. H.; Preston, G. B.
450
1967
Partially ordered groups of the second and third kinds. Zbl 0138.26102
Clifford, A. H.
2
1966
Partial homomorphic images of Brandt groupoids. Zbl 0133.27602
Clifford, A. H.
4
1965
Note on a double coset decomposition of semigroups due to Stefan Schwarz. Zbl 0135.04003
Clifford, A. H.
1
1963
The algebraic theory of semigroups. Vol. I. Zbl 0111.03403
Clifford, A. H.; Preston, G. B.
1961
Basic representations of completely simple semigroups. Zbl 0101.26101
Clifford, A. H.
14
1960
Lattice-ordered groups having at most two disjoint elements. Zbl 0098.25101
Conrad, P. F.; Clifford, A. H.
5
1960
Connected ordered topological semigroups with idempotent endpoints. II. Zbl 0088.02904
Clifford, A. H.
7
1959
Completion of semi-continuous ordered commutative semigroups. Zbl 0084.25202
Clifford, A. H.
4
1959
Totally ordered commutative semigroups. Zbl 0085.01402
Clifford, A. H.
31
1958
Connected ordered topological semigroups with idempotent endpoints. I. Zbl 0082.02401
Clifford, A. H.
23
1958
Ordered commutative semigroups of the second kind. Zbl 0100.02403
Clifford, A. H.
6
1958
Regular \({\mathcal D}\)-classes in semigroups. Zbl 0071.02001
Miller, D. D.; Clifford, A. H.
37
1956
Naturally totally ordered commutative semi-groups. Zbl 0055.01503
Clifford, A. H.
134
1954
Bands of semigroups. Zbl 0055.25001
Clifford, A. H.
37
1954
Note on Hahn’s theorem on ordered Abelian groups. Zbl 0056.25503
Clifford, A. H.
16
1954
A class of \(d\)-simple semigroups. Zbl 0051.01302
Clifford, A. H.
42
1953
A class of partially ordered Abelian groups related to Ky Fan’s characterizing subgroups. Zbl 0048.09102
Clifford, A. H.
2
1952
A noncommutative ordinally simple linearly ordered group. Zbl 0044.01301
Clifford, A. H.
12
1951
Extensions of semigroups. Zbl 0037.01001
Clifford, A. H.
33
1950
Semigroups without nilpotent ideals. Zbl 0045.30101
Clifford, A. H.
16
1949
Semigroups without nilpotent ideals. Zbl 0041.35706
Clifford, A. H.
2
1949
Semigroups containing minimal ideals. Zbl 0038.01103
Clifford, A. H.
38
1948
Semigroups having zeroid elements. Zbl 0035.29401
Clifford, A. H.; Miller, D. D.
14
1948
Matrix representations of completely simple semigroups. Zbl 0061.02404
Clifford, A. H.
45
1942
Semigroups admitting relative inverses. Zbl 0063.00920
Clifford, A. H.
132
1941
Factor-sets of a group in its abstract unit group. Zbl 0025.38904
Clifford, A. H.; MacLane, Saunders
3
1941
Partially ordered abelian groups. Zbl 0025.00801
Clifford, A. H.
20
1940
Arithmetic and ideal theory of commutative semigroups. Zbl 0019.19401
Clifford, A. H.
34
1938
Representations induced in an invariant subgroup. Zbl 0017.29705
Clifford, A. H.
154
1937
Representations induced in an invariant subgroup. Zbl 0016.01402
Clifford, A. H.
1
1937
Arithmetic and ideal theory of abstract multiplication. Zbl 0009.14903
Clifford, A. H.
4
1934
A system arising from a weakened set of group postulates. Zbl 0008.05002
Clifford, A. H.
13
1933
Fonctions analytiques implicites dans des espaces vectoriels abstraits. Zbl 0007.31002
Michal, A. D.; Clifford, A. H.
2
1933
all top 5

Cited by 1,990 Authors

49 Petrich, Mario
49 Tamura, Takayuki
32 Putcha, Mohan S.
31 Steinberg, Benjamin
29 Kehayopulu, Niovi
26 Volkov, Mikhail Vladimirovich
23 Okniński, Jan
23 Reilly, Norman R.
22 Shum, Kar-Ping
20 East, James
20 Gutik, Oleg Volodymyrovych
20 Margolis, Stuart W.
20 Mesiar, Radko
20 Pastijn, Francis J.
20 Ruškuc, Nik
19 Bosbach, Bruno
19 Jespers, Eric
19 Jones, Peter R.
19 Mesiarová-Zemánková, Andrea
19 Schein, Boris Moiseyevich
19 Schwarz, Štefan
19 Sullivan, Robert Patrick
18 Clifford, Alfred H.
18 Nagy, Attila
18 Pondělíček, Bedřich
17 Kelarev, Andrei Vladimirovich
17 Kim, Ki Hang
17 Kozhukhov, Igor’ Borisovich
17 Lajos, Sandor
17 Meakin, John C.
17 Rhodes, John Lewis
16 Fountain, John Barringham
16 Gould, Victoria A. R.
16 Lallement, Gerard J.
16 Magill, Kenneth D. jun.
16 McAlister, Donald B.
16 Weinert, Hanns Joachim
15 Dolinka, Igor
15 Trotter, Peter G.
15 Tsingelis, Michael
14 Almeida, Jorge
14 Gray, Robert D.
14 Grillet, Pierre Antoine
14 Guo, Xiaojiang
13 Khan, Noor Mohammad
13 Mary, Xavier
13 Warne, R. J.
13 Yamada, Miyuki
12 Geroldinger, Alfred
12 Kuroki, Nobuaki
12 Thierrin, Gabriel
11 Birget, Jean-Camille
11 Cherubini, Alessandra
11 Klement, Erich Peter
11 Levi, Inessa
11 Nordahl, Thomas E.
11 Sapir, Mark Valentinovich
11 Varisco, Ada
10 Auinger, Karl
10 Azeef Muhammed, P. A.
10 Bardyla, Serhii
10 Cain, Alan J.
10 Ćirić, Miroslav D.
10 Hofmann, Karl Heinrich
10 Howie, John Mackintosh
10 Jürgensen, Helmut
10 Kambites, Mark
10 Koch, Robert Jacob
10 Munn, Walter Douglas
10 Nico, William R.
10 Saito, Toru
9 Bogdanović, Stojan M.
9 Catino, Francesco
9 Dehornoy, Patrick
9 Higgins, Peter Michael
9 Kim, Jinbai
9 Koubek, Vaclav
9 Mukherjea, Arunava
9 Nambooripad, K. S. Subramonian
9 O’Carroll, Liam
9 Rajan, Arangath Raghavan
9 Satyanarayana, M. Venkata
9 Vetterlein, Thomas
8 Guo, Junying
8 Lawson, Mark Verus
8 Madison, Bernard L.
8 Márki, László
8 Maxson, Carlton James
8 Mazorchuk, Volodymyr
8 Mikhalëv, Aleksandr Vasil’evich
8 Mitsch, Heinz
8 Ruppert, Wolfgang A. F.
8 Sen, Mridul Kanti
8 Szendrei, Mária B.
8 Venkatesan, P. S.
8 Zhao, Ping
7 Banakh, Taras Onufrievich
7 Easdown, David
7 Friedberg, Michael
7 Halter-Koch, Franz
...and 1,890 more Authors
all top 5

Cited in 313 Serials

755 Semigroup Forum
239 Journal of Algebra
117 Transactions of the American Mathematical Society
112 Czechoslovak Mathematical Journal
92 Communications in Algebra
80 Proceedings of the American Mathematical Society
79 Journal of Pure and Applied Algebra
67 Proceedings of the Japan Academy
53 Fuzzy Sets and Systems
43 Journal of Mathematical Sciences (New York)
42 Mathematische Zeitschrift
36 International Journal of Algebra and Computation
35 Algebra Universalis
33 Bulletin of the Australian Mathematical Society
33 Journal of the Australian Mathematical Society
31 Siberian Mathematical Journal
30 Acta Mathematica Academiae Scientiarum Hungaricae
29 Glasgow Mathematical Journal
27 Mathematica Slovaca
27 Theoretical Computer Science
26 Proceedings of the Edinburgh Mathematical Society. Series II
25 Information Sciences
25 Linear Algebra and its Applications
22 Asian-European Journal of Mathematics
20 Acta Mathematica Hungarica
19 Lobachevskii Journal of Mathematics
18 Mathematical Notes
18 Advances in Mathematics
18 Archiv der Mathematik
18 Mathematische Annalen
18 Mathematical Systems Theory
18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
18 Bulletin of the American Mathematical Society
17 Matematický Časopis, Slovenskej Akadémie Vied
14 Israel Journal of Mathematics
14 Algebra and Logic
14 Monatshefte für Mathematik
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Ukrainian Mathematical Journal
13 Topology and its Applications
13 Algebras and Representation Theory
13 Open Mathematics
12 Periodica Mathematica Hungarica
12 Turkish Journal of Mathematics
11 Journal of Functional Analysis
11 Quaestiones Mathematicae
11 Results in Mathematics
11 Journal of Algebra and its Applications
10 Discrete Mathematics
10 Journal of Computer and System Sciences
10 Proceedings of the Japan Academy. Series A
9 Journal of Combinatorial Theory. Series A
9 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
8 Journal of Mathematical Physics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Aequationes Mathematicae
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Matematicko-Fyzikálny Časopis, Slovenskej Akadémie Vied
7 Acta Informatica
7 Communications in Mathematical Physics
7 Compositio Mathematica
7 International Journal of Mathematics and Mathematical Sciences
7 Forum Mathematicum
7 Algebra and Discrete Mathematics
7 Iranian Journal of Fuzzy Systems
6 Journal of Mathematical Analysis and Applications
6 Rocky Mountain Journal of Mathematics
6 Order
6 International Journal of Approximate Reasoning
6 Russian Mathematics
6 Acta Mathematica Sinica. English Series
5 Theoretical and Mathematical Physics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Bulletin de la Société Mathématique de France
5 Computing
5 Journal of Mathematical Psychology
5 Kybernetika
5 RAIRO, Informatique Théorique
5 Journal of Symbolic Computation
5 Algebra Colloquium
5 Topological Algebra and its Applications
4 Archive for History of Exact Sciences
4 Acta Mathematica
4 Journal of Number Theory
4 Journal of Soviet Mathematics
4 Manuscripta Mathematica
4 Mathematische Nachrichten
4 Memoirs of the American Mathematical Society
4 Nagoya Mathematical Journal
4 Cybernetics
4 Bulletin of the Iranian Mathematical Society
4 Information and Computation
4 Journal of the European Mathematical Society (JEMS)
4 Thai Journal of Mathematics
4 Mediterranean Journal of Mathematics
4 Bulletin de la Société Mathématique de France. Supplément. Mémoires
4 Journal of Algebra and Related Topics
4 Journal of Algebraic Systems
3 Artificial Intelligence
3 Indian Journal of Pure & Applied Mathematics
...and 213 more Serials
all top 5

Cited in 54 Fields

2,114 Group theory and generalizations (20-XX)
341 Order, lattices, ordered algebraic structures (06-XX)
314 Associative rings and algebras (16-XX)
255 General algebraic systems (08-XX)
177 Topological groups, Lie groups (22-XX)
170 Mathematical logic and foundations (03-XX)
162 Computer science (68-XX)
105 Category theory; homological algebra (18-XX)
100 Combinatorics (05-XX)
77 General topology (54-XX)
76 Linear and multilinear algebra; matrix theory (15-XX)
73 Functional analysis (46-XX)
57 Number theory (11-XX)
54 Abstract harmonic analysis (43-XX)
47 Commutative algebra (13-XX)
37 Operator theory (47-XX)
33 Probability theory and stochastic processes (60-XX)
29 Nonassociative rings and algebras (17-XX)
27 Manifolds and cell complexes (57-XX)
24 History and biography (01-XX)
23 Information and communication theory, circuits (94-XX)
20 Algebraic geometry (14-XX)
19 Dynamical systems and ergodic theory (37-XX)
17 Quantum theory (81-XX)
15 \(K\)-theory (19-XX)
14 Field theory and polynomials (12-XX)
14 Algebraic topology (55-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Measure and integration (28-XX)
10 Real functions (26-XX)
10 Difference and functional equations (39-XX)
9 Convex and discrete geometry (52-XX)
7 General and overarching topics; collections (00-XX)
7 Statistics (62-XX)
7 Numerical analysis (65-XX)
5 Geometry (51-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Biology and other natural sciences (92-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Differential geometry (53-XX)
3 Integral transforms, operational calculus (44-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Systems theory; control (93-XX)
2 Special functions (33-XX)
2 Sequences, series, summability (40-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Operations research, mathematical programming (90-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Approximations and expansions (41-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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