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Wallace, Alexander Doniphan (b. 1905 d. 1985)

Author ID: wallace.alexander-doniphan Recent zbMATH articles by "Wallace, Alexander Doniphan"
Published as: Wallace, A. D.; Wallace, Alexander Doniphan
External Links: MacTutor · MGP · Wikidata · GND
Documents Indexed: 80 Publications since 1939
Biographic References: 2 Publications
Co-Authors: 7 Co-Authors with 15 Joint Publications
137 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 607 times in 361 Documents Cited by Year
The structure of topological semigroups. Zbl 0065.00802
Wallace, A. D.
112
1955
Maximal ideals in compact semigroups. Zbl 0057.01502
Koch, R. J.; Wallace, A. D.
46
1954
The Rees-Suschkewitsch structure theorem for compact simple semigroups. Zbl 0071.25406
Wallace, A. D.
31
1956
A fixed-point theorem. Zbl 0060.40104
Wallace, A. D.
22
1945
Stability in semigroups. Zbl 0218.22003
Koch, R. J.; Wallace, A. D.
19
1957
A note on mobs. Zbl 0049.01503
Wallace, A. D.
18
1952
Relative ideals in semigroups. II: The relations of Green. Zbl 0122.26802
Wallace, A. D.
18
1963
Inverses in Euclidean mobs. Zbl 0052.02504
Wallace, A. D.
17
1953
Cohomology, dimension and mobs. Zbl 0053.43305
Wallace, A. D.
16
1953
Retractions in semigroups. Zbl 0079.04001
Wallace, A. D.
16
1957
Acyclicity of compact connected semigroups. Zbl 0099.01804
Wallace, A. D.
16
1961
A fixed-point theorem for trees. Zbl 0063.08139
Wallace, A. D.
15
1941
Admissibility of semigroup structures on continua. Zbl 0081.25506
Koch, R. J.; Wallace, A. D.
15
1958
Relative ideals in semigroups. I: Faucett’s theorem. Zbl 0100.26002
Wallace, A. D.
13
1962
Separation spaces. Zbl 0025.23803
Wallace, A. D.
13
1941
The map excision theorem. Zbl 0046.40601
Wallace, A. D.
12
1952
A note on mobs. II. Zbl 0052.25801
Wallace, A. D.
11
1953
Finite approximants of compact totally disconnected machines. A relation- theoretic result with applications in topological algebra. Zbl 0174.02903
Bednarek, A. R.; Wallace, A. D.
11
1967
The gebietstreue in semigroups. Zbl 0072.01504
Wallace, A. D.
10
1956
A theorem on acyclicity. Zbl 0136.20204
Wallace, A. D.
10
1961
Monotone transformations. Zbl 0060.40103
Wallace, A. D.
10
1942
Semigroups acting on continua. Zbl 0158.41703
Day, J. M.; Wallace, A. D.
10
1967
Struct ideals. Zbl 0065.37802
Wallace, A. D.
7
1955
The position of \(C\)-sets in semigroups. Zbl 0068.02403
Wallace, A. D.
7
1955
Multiplication induced in the state-space of an act. Zbl 0153.34702
Day, J. M.; Wallace, A. D.
7
1967
Quasi-monotone transformations. Zbl 0024.28502
Wallace, A. D.
7
1940
Recursions with semigroup state-spaces. Zbl 0154.26503
Wallace, A. D.
6
1967
Notes on inverse semigroups. Zbl 0135.06602
Koch, B. J.; Wallace, A. D.
5
1964
A note on generalizations of transitive systems of transformations. Zbl 0148.01501
Aczél, János; Wallace, A. D.
5
1967
Relative ideals and their complements. Zbl 0158.02504
Bednarek, A. R.; Wallace, A. D.
5
1966
Some characterizations of interior transformations. Zbl 0021.43102
Wallace, A. D.
5
1939
Extensional invariance. Zbl 0042.16701
Wallace, A. D.
5
1951
Indecomposable semigroups. Zbl 0052.02601
Wallace, A. D.
4
1953
Separation spaces. II. Zbl 0060.40102
Wallace, A. D.
4
1942
Two theorems on topological lattices. Zbl 0081.02503
Wallace, Alexander Doniphan
4
1957
Factoring a lattice. Zbl 0093.03903
Wallace, Alexander Doniphan
4
1958
A local property of pointwise periodic homeomorphisms. Zbl 0101.15601
Wallace, A. D.
4
1962
Problems concerning semigroups. Zbl 0107.01701
Wallace, A. D.
4
1962
Dimensional types. Zbl 0060.39811
Wallace, A. D.
3
1945
Problems on periodicity - functions and semigroups. Zbl 0152.21501
Wallace, Alexander Doniphan
3
1966
Equivalences on machine state spaces. Zbl 0153.31801
Bednarek, A. R.; Wallace, A. D.
3
1967
The acyclic elements of a Peano space. Zbl 0063.08140
Wallace, A. D.
3
1941
One dimensional homogeneous clans are groups. Zbl 0067.26201
Wallace, A. D.
3
1955
Remarks on affine semigroups. Zbl 0101.02102
Wallace, A. D.
3
1960
The least element map. Zbl 0152.20902
Franklin, S. P.; Wallace, A. D.
3
1966
Some invariants under monotone transformations. Zbl 0020.40502
Hall, D. W.; Wallace, A. D.
3
1939
Group invariant continua. Zbl 0041.51701
Wallace, A. D.
3
1949
Recent results on binary topological algebras. Zbl 0194.02902
Wallace, A. D.
2
1969
Endelements and the inversion of continua. Zbl 0039.18705
Wallace, A. D.
2
1949
Ideals in compact connected semigroups. Zbl 0075.24201
Wallace, Alexander Doniphan
2
1956
The peripheral character of central elements of a lattice. Zbl 0078.02004
Wallace, A. D.
2
1957
The center of a compact lattice is totally disconnected. Zbl 0081.02502
Wallace, Alexander Doniphan
2
1957
Problems on semigroups. Zbl 0095.01404
Wallace, A. D.
2
1961
Partial order and indecomposability. Zbl 0055.41302
Wallace, A. D.
2
1954
Some theorems on P-intersective sets. Zbl 0171.26502
Bednarek, A. R.; Wallace, A. D.
2
1966
On 0-regular transformations. Zbl 0024.36202
Wallace, A. D.
2
1940
Dispersal in compact semimodules. Zbl 0234.22007
Wallace, Alexander Doniphan
1
1972
Concerning relatively non-alternating transformations. JFM 67.0762.01
Wallace, A. D.
1
1941
Monotone coverings and monotone transformations. JFM 66.0972.01
Wallace, A. D.
1
1940
On \(0\)-regular transformations. JFM 66.0979.03
Wallace, A. D.
1
1940
Quasi-monotone transformations. JFM 66.0980.02
Wallace, A. D.
1
1940
Some characterizations of interior transformations. JFM 65.0886.01
Wallace, A. D.
1
1939
Extension sets. Zbl 0060.40106
Wallace, A. D.
1
1946
Relative invertibility in semigroups. Zbl 0099.25802
Wallace, A. D.
1
1961
Relations on topological spaces. Zbl 0114.14303
Wallace, A. D.
1
1962
Externally induced operations. Zbl 0182.34803
Wallace, A. D.
1
1969
Concerning relatively non-alternating transformations. Zbl 0061.40110
Wallace, A. D.
1
1941
Topological invariance of ideals in mobs. Zbl 0057.15102
Wallace, A. D.
1
1954
Reducible properties of Peano spaces. Zbl 0063.08141
Wallace, A. D.
1
1942
A note on convexity. Zbl 0099.17404
Wallace, A. D.
1
1961
The functional equation \((xy) (yz) = xz\). Zbl 0212.04202
Bednarek, A. R.; Wallace, A. D.
1
1971
Externally induced operations. Zbl 0214.27303
Wallace, A. D.
1
1971
Cyclic invariance under multi-valued maps. Zbl 0035.39101
Wallace, A. D.
1
1949
On non-boundary sets. Zbl 0021.43204
Wallace, A. D.
1
1939
Dispersal in compact semimodules. Zbl 0234.22007
Wallace, Alexander Doniphan
1
1972
The functional equation \((xy) (yz) = xz\). Zbl 0212.04202
Bednarek, A. R.; Wallace, A. D.
1
1971
Externally induced operations. Zbl 0214.27303
Wallace, A. D.
1
1971
Recent results on binary topological algebras. Zbl 0194.02902
Wallace, A. D.
2
1969
Externally induced operations. Zbl 0182.34803
Wallace, A. D.
1
1969
Finite approximants of compact totally disconnected machines. A relation- theoretic result with applications in topological algebra. Zbl 0174.02903
Bednarek, A. R.; Wallace, A. D.
11
1967
Semigroups acting on continua. Zbl 0158.41703
Day, J. M.; Wallace, A. D.
10
1967
Multiplication induced in the state-space of an act. Zbl 0153.34702
Day, J. M.; Wallace, A. D.
7
1967
Recursions with semigroup state-spaces. Zbl 0154.26503
Wallace, A. D.
6
1967
A note on generalizations of transitive systems of transformations. Zbl 0148.01501
Aczél, János; Wallace, A. D.
5
1967
Equivalences on machine state spaces. Zbl 0153.31801
Bednarek, A. R.; Wallace, A. D.
3
1967
Relative ideals and their complements. Zbl 0158.02504
Bednarek, A. R.; Wallace, A. D.
5
1966
Problems on periodicity - functions and semigroups. Zbl 0152.21501
Wallace, Alexander Doniphan
3
1966
The least element map. Zbl 0152.20902
Franklin, S. P.; Wallace, A. D.
3
1966
Some theorems on P-intersective sets. Zbl 0171.26502
Bednarek, A. R.; Wallace, A. D.
2
1966
Notes on inverse semigroups. Zbl 0135.06602
Koch, B. J.; Wallace, A. D.
5
1964
Relative ideals in semigroups. II: The relations of Green. Zbl 0122.26802
Wallace, A. D.
18
1963
Relative ideals in semigroups. I: Faucett’s theorem. Zbl 0100.26002
Wallace, A. D.
13
1962
A local property of pointwise periodic homeomorphisms. Zbl 0101.15601
Wallace, A. D.
4
1962
Problems concerning semigroups. Zbl 0107.01701
Wallace, A. D.
4
1962
Relations on topological spaces. Zbl 0114.14303
Wallace, A. D.
1
1962
Acyclicity of compact connected semigroups. Zbl 0099.01804
Wallace, A. D.
16
1961
A theorem on acyclicity. Zbl 0136.20204
Wallace, A. D.
10
1961
Problems on semigroups. Zbl 0095.01404
Wallace, A. D.
2
1961
Relative invertibility in semigroups. Zbl 0099.25802
Wallace, A. D.
1
1961
A note on convexity. Zbl 0099.17404
Wallace, A. D.
1
1961
Remarks on affine semigroups. Zbl 0101.02102
Wallace, A. D.
3
1960
Admissibility of semigroup structures on continua. Zbl 0081.25506
Koch, R. J.; Wallace, A. D.
15
1958
Factoring a lattice. Zbl 0093.03903
Wallace, Alexander Doniphan
4
1958
Stability in semigroups. Zbl 0218.22003
Koch, R. J.; Wallace, A. D.
19
1957
Retractions in semigroups. Zbl 0079.04001
Wallace, A. D.
16
1957
Two theorems on topological lattices. Zbl 0081.02503
Wallace, Alexander Doniphan
4
1957
The peripheral character of central elements of a lattice. Zbl 0078.02004
Wallace, A. D.
2
1957
The center of a compact lattice is totally disconnected. Zbl 0081.02502
Wallace, Alexander Doniphan
2
1957
The Rees-Suschkewitsch structure theorem for compact simple semigroups. Zbl 0071.25406
Wallace, A. D.
31
1956
The gebietstreue in semigroups. Zbl 0072.01504
Wallace, A. D.
10
1956
Ideals in compact connected semigroups. Zbl 0075.24201
Wallace, Alexander Doniphan
2
1956
The structure of topological semigroups. Zbl 0065.00802
Wallace, A. D.
112
1955
Struct ideals. Zbl 0065.37802
Wallace, A. D.
7
1955
The position of \(C\)-sets in semigroups. Zbl 0068.02403
Wallace, A. D.
7
1955
One dimensional homogeneous clans are groups. Zbl 0067.26201
Wallace, A. D.
3
1955
Maximal ideals in compact semigroups. Zbl 0057.01502
Koch, R. J.; Wallace, A. D.
46
1954
Partial order and indecomposability. Zbl 0055.41302
Wallace, A. D.
2
1954
Topological invariance of ideals in mobs. Zbl 0057.15102
Wallace, A. D.
1
1954
Inverses in Euclidean mobs. Zbl 0052.02504
Wallace, A. D.
17
1953
Cohomology, dimension and mobs. Zbl 0053.43305
Wallace, A. D.
16
1953
A note on mobs. II. Zbl 0052.25801
Wallace, A. D.
11
1953
Indecomposable semigroups. Zbl 0052.02601
Wallace, A. D.
4
1953
A note on mobs. Zbl 0049.01503
Wallace, A. D.
18
1952
The map excision theorem. Zbl 0046.40601
Wallace, A. D.
12
1952
Extensional invariance. Zbl 0042.16701
Wallace, A. D.
5
1951
Group invariant continua. Zbl 0041.51701
Wallace, A. D.
3
1949
Endelements and the inversion of continua. Zbl 0039.18705
Wallace, A. D.
2
1949
Cyclic invariance under multi-valued maps. Zbl 0035.39101
Wallace, A. D.
1
1949
Extension sets. Zbl 0060.40106
Wallace, A. D.
1
1946
A fixed-point theorem. Zbl 0060.40104
Wallace, A. D.
22
1945
Dimensional types. Zbl 0060.39811
Wallace, A. D.
3
1945
Monotone transformations. Zbl 0060.40103
Wallace, A. D.
10
1942
Separation spaces. II. Zbl 0060.40102
Wallace, A. D.
4
1942
Reducible properties of Peano spaces. Zbl 0063.08141
Wallace, A. D.
1
1942
A fixed-point theorem for trees. Zbl 0063.08139
Wallace, A. D.
15
1941
Separation spaces. Zbl 0025.23803
Wallace, A. D.
13
1941
The acyclic elements of a Peano space. Zbl 0063.08140
Wallace, A. D.
3
1941
Concerning relatively non-alternating transformations. JFM 67.0762.01
Wallace, A. D.
1
1941
Concerning relatively non-alternating transformations. Zbl 0061.40110
Wallace, A. D.
1
1941
Quasi-monotone transformations. Zbl 0024.28502
Wallace, A. D.
7
1940
On 0-regular transformations. Zbl 0024.36202
Wallace, A. D.
2
1940
Monotone coverings and monotone transformations. JFM 66.0972.01
Wallace, A. D.
1
1940
On \(0\)-regular transformations. JFM 66.0979.03
Wallace, A. D.
1
1940
Quasi-monotone transformations. JFM 66.0980.02
Wallace, A. D.
1
1940
Some characterizations of interior transformations. Zbl 0021.43102
Wallace, A. D.
5
1939
Some invariants under monotone transformations. Zbl 0020.40502
Hall, D. W.; Wallace, A. D.
3
1939
Some characterizations of interior transformations. JFM 65.0886.01
Wallace, A. D.
1
1939
On non-boundary sets. Zbl 0021.43204
Wallace, A. D.
1
1939
all top 5

Cited by 285 Authors

20 Wallace, Alexander Doniphan
13 Koch, Robert Jacob
11 Hunter, Robert P.
11 Mostert, Paul S.
8 Cohen, Haskell
8 Day, Jane Maxwell
7 Anderson, Lee W.
7 Brown, Dennison R.
7 Hofmann, Karl Heinrich
7 Lawson, Jimmie Don
7 Schwarz, Štefan
6 Gutik, Oleg Volodymyrovych
6 Rothman, Neal J.
6 Tserpes, Nicolas A.
6 Ward, Lewis E. jun.
5 Banakh, Taras Onufrievich
5 Borrego, Joseph T.
5 Friedberg, Michael
5 Gray, Robert D.
5 Shum, Kar-Ping
4 Bednarek, Alexander R.
4 Charatonik, Janusz Jerzy
4 Gray, William J.
4 Hays, T. E.
4 Moors, Warren B.
4 Mukherjea, Arunava
4 Norris, Eugene M.
4 Pearson, Kenneth Robert
4 Ruškuc, Nik
4 Shields, Allen L.
4 Stralka, Albert R.
3 Carruth, J. Harvey
3 Chow, Hing Lun
3 Duda, Edwin
3 Glicksberg, Irving Leonard
3 Heble, Madhar P.
3 Janos, Ludvik
3 McCharen, John D.
3 Numakura, Katsumi
3 Robbie, Desmond A.
3 Selden, John
3 Sikdar, Kripasindhu
3 Stone, Arthur Harold
3 Taylor, Joseph L.
3 Wieczorek, Andrzej
2 Ali, Md. Firoj
2 Baboolal, Dharmanand
2 Baker, John Walter
2 Bourgin, David Gordon
2 Chinda, K. P.
2 Clark, Charles Edgar
2 Collins, Heron Sherwood
2 deLeeuw, Karel
2 Ellis, Robert Mortimer
2 Faucett, W. M.
2 Hildebrant, John A.
2 Hrušák, Michael
2 Kelemen, Charles F.
2 Khan, Noor Mohammad
2 Kuczumow, Tadeusz
2 Kula, Muammer
2 Lin, Shou
2 Lin, You-Feng
2 Madison, Bernard L.
2 Mary, Xavier
2 Mcwaters, M. M.
2 Mislove, Michael W.
2 Mitchell, James D.
2 Pettis, Billy James
2 Quartieri, Federico
2 Ravsky, Alex
2 Reed, Jeffrey H.
2 Rosenblatt, Murray
2 Sigmon, Kermit
2 Smithson, Raymond E.
2 Stachura, Adam
2 Stadtlander, David P.
2 Stepp, James W.
2 Sun, Tze-Chien
2 Swingle, Paul M.
2 Tkachenko, Mikhail Gelievich
2 Tomita, Artur Hideyuki
2 Turinici, Mihai
2 Williams, Wiley
1 Abgrall, Rémi
1 Abrhan, Imrich
1 Aczél, János Dezső
1 Ahsanullah, T. M. G.
1 Al-Thukair, Fawzi A.
1 Almeida, Jorge
1 Andrews, James J.
1 Atmaca, Serkan
1 Bacon, Philip J.
1 Banaschewski, Bernhard
1 Bardyla, Serhii
1 Basar, Abul
1 Bergelson, Vitaly
1 Berglund, John F.
1 Bertman, Martha O.
1 Borisovich, Yuriĭ Grigor’evich
...and 185 more Authors
all top 5

Cited in 79 Serials

62 Proceedings of the American Mathematical Society
51 Semigroup Forum
39 Transactions of the American Mathematical Society
22 Topology and its Applications
18 Czechoslovak Mathematical Journal
13 Journal of the Australian Mathematical Society
13 Bulletin of the American Mathematical Society
11 Mathematische Zeitschrift
9 Journal of Mathematical Analysis and Applications
8 Mathematical Systems Theory
7 Aequationes Mathematicae
6 Archiv der Mathematik
6 Mathematische Annalen
5 Acta Mathematica Academiae Scientiarum Hungaricae
5 Matematický Časopis, Slovenskej Akadémie Vied
4 Bulletin of the Australian Mathematical Society
4 Proceedings of the Japan Academy
3 Acta Mathematica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Matematicko-Fyzikálny Časopis, Slovenskej Akadémie Vied
2 Israel Journal of Mathematics
2 Periodica Mathematica Hungarica
2 Journal of Computer and System Sciences
2 Journal of Pure and Applied Algebra
2 Journal of Soviet Mathematics
2 Kodai Mathematical Journal
2 Filomat
2 Hacettepe Journal of Mathematics and Statistics
2 Oberwolfach Reports
1 Archive for History of Exact Sciences
1 Archive for Rational Mechanics and Analysis
1 Communications in Algebra
1 General Relativity and Gravitation
1 Indian Journal of Pure & Applied Mathematics
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 Algebra Universalis
1 Compositio Mathematica
1 Fuzzy Sets and Systems
1 Glasgow Mathematical Journal
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series A
1 Journal of Computational and Applied Mathematics
1 Journal of Mathematical Economics
1 Journal of Mathematical Psychology
1 Journal of Optimization Theory and Applications
1 Mathematics of Operations Research
1 Mathematica Slovaca
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Mathematical Social Sciences
1 Annals of Pure and Applied Logic
1 Graphs and Combinatorics
1 Information and Computation
1 Forum Mathematicum
1 The Journal of Geometric Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Topology Proceedings
1 Buletinul Academiei de Științe a Republicii Moldova. Matematica
1 Annals of Mathematics and Artificial Intelligence
1 Discrete and Continuous Dynamical Systems
1 Matematychni Studiï
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Fixed Point Theory and Applications
1 Bulletin de la Société Mathématique de France. Supplément. Mémoires
1 Mathematics in Computer Science
1 Set-Valued and Variational Analysis
1 Proceedings of the International Geometry Center
1 Palestine Journal of Mathematics
1 Journal of Linear and Topological Algebra
1 European Journal of Mathematics
all top 5

Cited in 35 Fields

111 Topological groups, Lie groups (22-XX)
86 General topology (54-XX)
67 Group theory and generalizations (20-XX)
23 Order, lattices, ordered algebraic structures (06-XX)
9 Mathematical logic and foundations (03-XX)
9 Abstract harmonic analysis (43-XX)
9 Operator theory (47-XX)
8 Functional analysis (46-XX)
7 Algebraic topology (55-XX)
7 Computer science (68-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 History and biography (01-XX)
5 Combinatorics (05-XX)
5 Convex and discrete geometry (52-XX)
4 Measure and integration (28-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Manifolds and cell complexes (57-XX)
4 Probability theory and stochastic processes (60-XX)
3 Associative rings and algebras (16-XX)
3 Category theory; homological algebra (18-XX)
3 Real functions (26-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Partial differential equations (35-XX)
3 Numerical analysis (65-XX)
2 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Statistics (62-XX)
2 Fluid mechanics (76-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Functions of a complex variable (30-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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