Edit Profile (opens in new tab) Wallace, Alexander Doniphan (b. 1905 d. 1985) Co-Author Distance Author ID: 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 135 Co-Co-Authors all top 5 Co-Authors 65 single-authored 5 Bednarek, Alexander R. 3 Koch, Robert Jacob 2 Day, Jane Maxwell 2 Hall, Dick Wick 1 Aczél, János Dezső 1 Franklin, Stanley P. 1 Koch, B. J. all top 5 Serials 13 Bulletin of the American Mathematical Society 9 Duke Mathematical Journal 7 Proceedings of the American Mathematical Society 6 Colloquium Mathematicum 4 Revue Roumaine de Mathématiques Pures et Appliquées 4 American Journal of Mathematics 4 Proceedings of the National Academy of Sciences of the United States of America 4 Anais da Academia Brasileira de Ciências 3 Mathematical Systems Theory 3 Pacific Journal of Mathematics 3 Transactions of the American Mathematical Society 3 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Fundamenta Mathematicae 2 Mathematical Journal of Okayama University 2 Journal of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Czechoslovak Mathematical Journal 1 Annals of Mathematics. Second Series 1 Matematický Časopis, Slovenskej Akadémie Vied 1 Matematicko-Fyzikálny Časopis, Slovenskej Akadémie Vied Fields 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 2 General topology (54-XX) 1 Associative rings and algebras (16-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 593 times in 348 Documents Cited by ▼ Year ▼ The structure of topological semigroups. Zbl 0065.00802Wallace, A. D. 110 1955 Maximal ideals in compact semigroups. Zbl 0057.01502Koch, R. J.; Wallace, A. D. 46 1954 The Rees-Suschkewitsch structure theorem for compact simple semigroups. Zbl 0071.25406Wallace, A. D. 31 1956 A fixed-point theorem. Zbl 0060.40104Wallace, A. D. 20 1945 Relative ideals in semigroups. II: The relations of Green. Zbl 0122.26802Wallace, A. D. 18 1963 A note on mobs. Zbl 0049.01503Wallace, A. D. 18 1952 Inverses in Euclidean mobs. Zbl 0052.02504Wallace, A. D. 17 1953 Retractions in semigroups. Zbl 0079.04001Wallace, A. D. 16 1957 Acyclicity of compact connected semigroups. Zbl 0099.01804Wallace, A. D. 16 1961 Stability in semigroups. Zbl 0218.22003Koch, R. J.; Wallace, A. D. 16 1957 Cohomology, dimension and mobs. Zbl 0053.43305Wallace, A. D. 16 1953 Admissibility of semigroup structures on continua. Zbl 0081.25506Koch, R. J.; Wallace, A. D. 15 1958 Relative ideals in semigroups. I: Faucett’s theorem. Zbl 0100.26002Wallace, A. D. 13 1962 A fixed-point theorem for trees. Zbl 0063.08139Wallace, A. D. 12 1941 Separation spaces. Zbl 0025.23803Wallace, A. D. 12 1941 The map excision theorem. Zbl 0046.40601Wallace, A. D. 12 1952 Finite approximants of compact totally disconnected machines. A relation- theoretic result with applications in topological algebra. Zbl 0174.02903Bednarek, A. R.; Wallace, A. D. 11 1967 A note on mobs. II. Zbl 0052.25801Wallace, A. D. 11 1953 The gebietstreue in semigroups. Zbl 0072.01504Wallace, A. D. 10 1956 A theorem on acyclicity. Zbl 0136.20204Wallace, A. D. 10 1961 Monotone transformations. Zbl 0060.40103Wallace, A. D. 10 1942 Semigroups acting on continua. Zbl 0158.41703Day, J. M.; Wallace, A. D. 9 1967 Struct ideals. Zbl 0065.37802Wallace, A. D. 7 1955 The position of \(C\)-sets in semigroups. Zbl 0068.02403Wallace, A. D. 7 1955 Quasi-monotone transformations. Zbl 0024.28502Wallace, A. D. 6 1940 Multiplication induced in the state-space of an act. Zbl 0153.34702Day, J. M.; Wallace, A. D. 6 1967 Recursions with semigroup state-spaces. Zbl 0154.26503Wallace, A. D. 6 1967 Notes on inverse semigroups. Zbl 0135.06602Koch, B. J.; Wallace, A. D. 5 1964 Some characterizations of interior transformations. Zbl 0021.43102Wallace, A. D. 5 1939 Extensional invariance. Zbl 0042.16701Wallace, A. D. 5 1951 A note on generalizations of transitive systems of transformations. Zbl 0148.01501Aczél, János; Wallace, A. D. 5 1967 Relative ideals and their complements. Zbl 0158.02504Bednarek, A. R.; Wallace, A. D. 5 1966 Two theorems on topological lattices. Zbl 0081.02503Wallace, Alexander Doniphan 4 1957 Factoring a lattice. Zbl 0093.03903Wallace, Alexander Doniphan 4 1958 A local property of pointwise periodic homeomorphisms. Zbl 0101.15601Wallace, A. D. 4 1962 Problems concerning semigroups. Zbl 0107.01701Wallace, A. D. 4 1962 Indecomposable semigroups. Zbl 0052.02601Wallace, A. D. 4 1953 Separation spaces. II. Zbl 0060.40102Wallace, A. D. 4 1942 The acyclic elements of a Peano space. Zbl 0063.08140Wallace, A. D. 3 1941 One dimensional homogeneous clans are groups. Zbl 0067.26201Wallace, A. D. 3 1955 Remarks on affine semigroups. Zbl 0101.02102Wallace, A. D. 3 1960 Some invariants under monotone transformations. Zbl 0020.40502Hall, D. W.; Wallace, A. D. 3 1939 Group invariant continua. Zbl 0041.51701Wallace, A. D. 3 1949 The least element map. Zbl 0152.20902Franklin, S. P.; Wallace, A. D. 3 1966 Problems on periodicity - functions and semigroups. Zbl 0152.21501Wallace, Alexander Doniphan 3 1966 Equivalences on machine state spaces. Zbl 0153.31801Bednarek, A. R.; Wallace, A. D. 3 1967 Dimensional types. Zbl 0060.39811Wallace, A. D. 3 1945 Ideals in compact connected semigroups. Zbl 0075.24201Wallace, Alexander Doniphan 2 1956 The peripheral character of central elements of a lattice. Zbl 0078.02004Wallace, A. D. 2 1957 The center of a compact lattice is totally disconnected. Zbl 0081.02502Wallace, Alexander Doniphan 2 1957 Problems on semigroups. Zbl 0095.01404Wallace, A. D. 2 1961 On 0-regular transformations. Zbl 0024.36202Wallace, A. D. 2 1940 Endelements and the inversion of continua. Zbl 0039.18705Wallace, A. D. 2 1949 Some theorems on P-intersective sets. Zbl 0171.26502Bednarek, A. R.; Wallace, A. D. 2 1966 Recent results on binary topological algebras. Zbl 0194.02902Wallace, A. D. 2 1969 Partial order and indecomposability. Zbl 0055.41302Wallace, A. D. 2 1954 Monotone coverings and monotone transformations. JFM 66.0972.01Wallace, A. D. 1 1940 On \(0\)-regular transformations. JFM 66.0979.03Wallace, A. D. 1 1940 Quasi-monotone transformations. JFM 66.0980.02Wallace, A. D. 1 1940 Some characterizations of interior transformations. JFM 65.0886.01Wallace, A. D. 1 1939 Concerning relatively non-alternating transformations. JFM 67.0762.01Wallace, A. D. 1 1941 Reducible properties of Peano spaces. Zbl 0063.08141Wallace, A. D. 1 1942 A note on convexity. Zbl 0099.17404Wallace, A. D. 1 1961 Relative invertibility in semigroups. Zbl 0099.25802Wallace, A. D. 1 1961 Relations on topological spaces. Zbl 0114.14303Wallace, A. D. 1 1962 On non-boundary sets. Zbl 0021.43204Wallace, A. D. 1 1939 Cyclic invariance under multi-valued maps. Zbl 0035.39101Wallace, A. D. 1 1949 Externally induced operations. Zbl 0182.34803Wallace, A. D. 1 1969 The functional equation \((xy) (yz) = xz\). Zbl 0212.04202Bednarek, A. R.; Wallace, A. D. 1 1971 Externally induced operations. Zbl 0214.27303Wallace, A. D. 1 1971 Dispersal in compact semimodules. Zbl 0234.22007Wallace, Alexander Doniphan 1 1972 Topological invariance of ideals in mobs. Zbl 0057.15102Wallace, A. D. 1 1954 Extension sets. Zbl 0060.40106Wallace, A. D. 1 1946 Concerning relatively non-alternating transformations. Zbl 0061.40110Wallace, A. D. 1 1941 Dispersal in compact semimodules. Zbl 0234.22007Wallace, Alexander Doniphan 1 1972 The functional equation \((xy) (yz) = xz\). Zbl 0212.04202Bednarek, A. R.; Wallace, A. D. 1 1971 Externally induced operations. Zbl 0214.27303Wallace, A. D. 1 1971 Recent results on binary topological algebras. Zbl 0194.02902Wallace, A. D. 2 1969 Externally induced operations. Zbl 0182.34803Wallace, A. D. 1 1969 Finite approximants of compact totally disconnected machines. A relation- theoretic result with applications in topological algebra. Zbl 0174.02903Bednarek, A. R.; Wallace, A. D. 11 1967 Semigroups acting on continua. Zbl 0158.41703Day, J. M.; Wallace, A. D. 9 1967 Multiplication induced in the state-space of an act. Zbl 0153.34702Day, J. M.; Wallace, A. D. 6 1967 Recursions with semigroup state-spaces. Zbl 0154.26503Wallace, A. D. 6 1967 A note on generalizations of transitive systems of transformations. Zbl 0148.01501Aczél, János; Wallace, A. D. 5 1967 Equivalences on machine state spaces. Zbl 0153.31801Bednarek, A. R.; Wallace, A. D. 3 1967 Relative ideals and their complements. Zbl 0158.02504Bednarek, A. R.; Wallace, A. D. 5 1966 The least element map. Zbl 0152.20902Franklin, S. P.; Wallace, A. D. 3 1966 Problems on periodicity - functions and semigroups. Zbl 0152.21501Wallace, Alexander Doniphan 3 1966 Some theorems on P-intersective sets. Zbl 0171.26502Bednarek, A. R.; Wallace, A. D. 2 1966 Notes on inverse semigroups. Zbl 0135.06602Koch, B. J.; Wallace, A. D. 5 1964 Relative ideals in semigroups. II: The relations of Green. Zbl 0122.26802Wallace, A. D. 18 1963 Relative ideals in semigroups. I: Faucett’s theorem. Zbl 0100.26002Wallace, A. D. 13 1962 A local property of pointwise periodic homeomorphisms. Zbl 0101.15601Wallace, A. D. 4 1962 Problems concerning semigroups. Zbl 0107.01701Wallace, A. D. 4 1962 Relations on topological spaces. Zbl 0114.14303Wallace, A. D. 1 1962 Acyclicity of compact connected semigroups. Zbl 0099.01804Wallace, A. D. 16 1961 A theorem on acyclicity. Zbl 0136.20204Wallace, A. D. 10 1961 Problems on semigroups. Zbl 0095.01404Wallace, A. D. 2 1961 A note on convexity. Zbl 0099.17404Wallace, A. D. 1 1961 Relative invertibility in semigroups. Zbl 0099.25802Wallace, A. D. 1 1961 Remarks on affine semigroups. Zbl 0101.02102Wallace, A. D. 3 1960 Admissibility of semigroup structures on continua. Zbl 0081.25506Koch, R. J.; Wallace, A. D. 15 1958 Factoring a lattice. Zbl 0093.03903Wallace, Alexander Doniphan 4 1958 Retractions in semigroups. Zbl 0079.04001Wallace, A. D. 16 1957 Stability in semigroups. Zbl 0218.22003Koch, R. J.; Wallace, A. D. 16 1957 Two theorems on topological lattices. Zbl 0081.02503Wallace, Alexander Doniphan 4 1957 The peripheral character of central elements of a lattice. Zbl 0078.02004Wallace, A. D. 2 1957 The center of a compact lattice is totally disconnected. Zbl 0081.02502Wallace, Alexander Doniphan 2 1957 The Rees-Suschkewitsch structure theorem for compact simple semigroups. Zbl 0071.25406Wallace, A. D. 31 1956 The gebietstreue in semigroups. Zbl 0072.01504Wallace, A. D. 10 1956 Ideals in compact connected semigroups. Zbl 0075.24201Wallace, Alexander Doniphan 2 1956 The structure of topological semigroups. Zbl 0065.00802Wallace, A. D. 110 1955 Struct ideals. Zbl 0065.37802Wallace, A. D. 7 1955 The position of \(C\)-sets in semigroups. Zbl 0068.02403Wallace, A. D. 7 1955 One dimensional homogeneous clans are groups. Zbl 0067.26201Wallace, A. D. 3 1955 Maximal ideals in compact semigroups. Zbl 0057.01502Koch, R. J.; Wallace, A. D. 46 1954 Partial order and indecomposability. Zbl 0055.41302Wallace, A. D. 2 1954 Topological invariance of ideals in mobs. Zbl 0057.15102Wallace, A. D. 1 1954 Inverses in Euclidean mobs. Zbl 0052.02504Wallace, A. D. 17 1953 Cohomology, dimension and mobs. Zbl 0053.43305Wallace, A. D. 16 1953 A note on mobs. II. Zbl 0052.25801Wallace, A. D. 11 1953 Indecomposable semigroups. Zbl 0052.02601Wallace, A. D. 4 1953 A note on mobs. Zbl 0049.01503Wallace, A. D. 18 1952 The map excision theorem. Zbl 0046.40601Wallace, A. D. 12 1952 Extensional invariance. Zbl 0042.16701Wallace, A. D. 5 1951 Group invariant continua. Zbl 0041.51701Wallace, A. D. 3 1949 Endelements and the inversion of continua. Zbl 0039.18705Wallace, A. D. 2 1949 Cyclic invariance under multi-valued maps. Zbl 0035.39101Wallace, A. D. 1 1949 Extension sets. Zbl 0060.40106Wallace, A. D. 1 1946 A fixed-point theorem. Zbl 0060.40104Wallace, A. D. 20 1945 Dimensional types. Zbl 0060.39811Wallace, A. D. 3 1945 Monotone transformations. Zbl 0060.40103Wallace, A. D. 10 1942 Separation spaces. II. Zbl 0060.40102Wallace, A. D. 4 1942 Reducible properties of Peano spaces. Zbl 0063.08141Wallace, A. D. 1 1942 A fixed-point theorem for trees. Zbl 0063.08139Wallace, A. D. 12 1941 Separation spaces. Zbl 0025.23803Wallace, A. D. 12 1941 The acyclic elements of a Peano space. Zbl 0063.08140Wallace, A. D. 3 1941 Concerning relatively non-alternating transformations. JFM 67.0762.01Wallace, A. D. 1 1941 Concerning relatively non-alternating transformations. Zbl 0061.40110Wallace, A. D. 1 1941 Quasi-monotone transformations. Zbl 0024.28502Wallace, A. D. 6 1940 On 0-regular transformations. Zbl 0024.36202Wallace, A. D. 2 1940 Monotone coverings and monotone transformations. JFM 66.0972.01Wallace, A. D. 1 1940 On \(0\)-regular transformations. JFM 66.0979.03Wallace, A. D. 1 1940 Quasi-monotone transformations. JFM 66.0980.02Wallace, A. D. 1 1940 Some characterizations of interior transformations. Zbl 0021.43102Wallace, A. D. 5 1939 Some invariants under monotone transformations. Zbl 0020.40502Hall, D. W.; Wallace, A. D. 3 1939 Some characterizations of interior transformations. JFM 65.0886.01Wallace, A. D. 1 1939 On non-boundary sets. Zbl 0021.43204Wallace, A. D. 1 1939 all cited Publications top 5 cited Publications all top 5 Cited by 259 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 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 Gutik, Oleg Volodymyrovych 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 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, You-Feng 2 Madison, Bernard L. 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 Sikdar, Kripasindhu 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 Abrhan, Imrich 1 Aczél, János Dezső 1 Ahsanullah, T. M. G. 1 Al-Thukair, Fawzi A. 1 Almeida, Jorge 1 Andrews, James J. 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 1 Bouziad, Ahmed 1 Budanaev, Ivan A. 1 Cacciafesta, Fabrizio 1 Cain, Alan J. ...and 159 more Authors all top 5 Cited in 71 Serials 62 Proceedings of the American Mathematical Society 49 Semigroup Forum 39 Transactions of the American Mathematical Society 21 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 8 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 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 Glasgow Mathematical Journal 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 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 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 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 all top 5 Cited in 32 Fields 106 Topological groups, Lie groups (22-XX) 80 General topology (54-XX) 63 Group theory and generalizations (20-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 9 Abstract harmonic analysis (43-XX) 8 Mathematical logic and foundations (03-XX) 8 Functional analysis (46-XX) 8 Operator theory (47-XX) 7 Algebraic topology (55-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 6 Computer science (68-XX) 5 Combinatorics (05-XX) 5 Convex and discrete geometry (52-XX) 4 Manifolds and cell complexes (57-XX) 3 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Probability theory and stochastic processes (60-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) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.