Edit Profile (opens in new tab) Kaplansky, Irving Compute Distance To: Compute Author ID: kaplansky.irving Published as: Kaplansky, Irving; Kaplansky, I. Further Spellings: Капланский Ирвинг Homepage: https://math.berkeley.edu/people/faculty/irving-kaplansky External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Member of Collective: Schark, I. J. Documents Indexed: 161 Publications since 1939, including 27 Books 2 Contributions as Editor Biographic References: 2 Publications Co-Authors: 28 Co-Authors with 26 Joint Publications 939 Co-Co-Authors all top 5 Co-Authors 135 single-authored 3 Jagy, William C. 3 Riordan, John F. 2 Cohen, Irvin Sol 2 Erdős, Pál 1 Albert, Abraham Adrian 1 Arens, Richard Friederich 1 Benkart, Georgia M. 1 Bergman, George M. 1 Brudno, Simcha 1 Bussemaker, Frans C. 1 Butler, William H. 1 Fortet, Robert M. 1 Freund, Peter George Oliver 1 Hall, Marshall jun. 1 Herstein, Israel Nathan 1 Hewitt, Edwin 1 Kibler, Robert E. 1 Lages Lima, Elon 1 Mackey, George Whitelaw 1 McCrimmon, Kevin 1 McKay, Brendan D. 1 Pollard, Harry 1 Postnikov, Mikhail Mikhaĭlovich 1 Saltman, David J. 1 Santharoubane, L. J. 1 Schiemann, Alexander 1 Schilling, Otto Franz Georg 1 Seidel, Jacob 1 Seligman, George B. 1 Shaker, Richard J. all top 5 Serials 10 Bulletin of the American Mathematical Society 8 Duke Mathematical Journal 8 Proceedings of the American Mathematical Society 7 American Journal of Mathematics 7 Transactions of the American Mathematical Society 6 Annals of Mathematics. Second Series 5 American Mathematical Monthly 4 Canadian Journal of Mathematics 4 Journal of Algebra 4 Pacific Journal of Mathematics 3 Nagoya Mathematical Journal 3 Normat 3 Linear Algebra and its Applications 3 Scripta Mathematica 3 Annals of Mathematical Statistics 2 Illinois Journal of Mathematics 2 The Journal of the Indian Mathematical Society. New Series 2 Mathematika 2 Proceedings of the National Academy of Sciences of the United States of America 2 Notices of the American Mathematical Society 2 Regional Conference Series in Mathematics 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Studia Mathematica 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Archiv der Mathematik 1 Journal of the American Statistical Association 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Portugaliae Mathematica 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku Mathematical Journal. Second Series 1 Order 1 SIAM Journal on Matrix Analysis and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Experimental Mathematics 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Proceedings of Symposia in Pure Mathematics 1 Springer Collected Works in Mathematics all top 5 Fields 19 Nonassociative rings and algebras (17-XX) 18 Number theory (11-XX) 17 Associative rings and algebras (16-XX) 14 Commutative algebra (13-XX) 13 History and biography (01-XX) 11 Field theory and polynomials (12-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 General and overarching topics; collections (00-XX) 8 Functional analysis (46-XX) 5 Group theory and generalizations (20-XX) 4 Combinatorics (05-XX) 4 Topological groups, Lie groups (22-XX) 3 Mathematical logic and foundations (03-XX) 2 General topology (54-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 137 Publications have been cited 5,230 times in 4,557 Documents Cited by ▼ Year ▼ Commutative rings. Zbl 0203.34601Kaplansky, I. 558 1970 Infinite abelian groups. Zbl 0057.01901Kaplansky, Irving 314 1954 Commutative rings. 2nd revised ed. Zbl 0296.13001Kaplansky, Irving 261 1974 An introduction to differential algebra. Zbl 0083.03301Kaplansky, Irving 208 1957 Projective modules. Zbl 0083.25802Kaplansky, Irving 198 1958 Rings of operators. Zbl 0174.18503Kaplansky, Irving 194 1968 Infinite abelian groups. Revised edition. Zbl 0194.04402Kaplansky, Irving 191 1969 Elementary divisors and modules. Zbl 0036.01903Kaplansky, Irving 179 1949 Modules over Dedekind rings and valuation rings. Zbl 0046.25701Kaplansky, Irving 132 1952 Modules over operator algebras. Zbl 0051.09101Kaplansky, Irving 132 1953 Projections in Banach algebras. Zbl 0042.12402Kaplansky, Irving 129 1951 Topological rings. Zbl 0034.16604Kaplansky, Irving 125 1947 Maximal fields with valuations. Zbl 0063.03135Kaplansky, Irving 113 1942 Linear Algebra and geometry. A second course. Zbl 0184.24201Kaplansky, Irving 106 1969 Fields and rings. Second Impression. Zbl 0238.16001Kaplansky, Irving 99 1970 The structure of certain operator algebras. Zbl 0042.34901Kaplansky, Irving 97 1951 Rings with a polynomial identity. Zbl 0032.00701Kaplansky, Irving 92 1948 Topological representation of algebras. Zbl 0032.00702Arens, Richard F.; Kaplansky, Irving 84 1948 Fields and rings. 2nd ed. Zbl 1001.16500Kaplansky, Irving 79 1972 Normed algebras. Zbl 0033.18701Kaplansky, Irving 79 1949 Composition of binary quadratic forms. Zbl 0212.39101Kaplansky, I. 72 1968 Algebras of type I. Zbl 0047.35701Kaplansky, Irving 61 1952 Lie algebras and locally compact groups. Zbl 0223.17001Kaplansky, Irving 60 1971 Topological representation of algebras. II. Zbl 0035.30301Kaplansky, Irving 58 1950 Algebraic and analytic aspects of operator algebras. Zbl 0217.44902Kaplansky, I. 56 1970 Any orthocomplemented complete modular lattice is a continuous geometry. Zbl 0065.01801Kaplansky, Irving 48 1955 A contribution to von Neumann’s theory of games. Zbl 0063.03139Kaplansky, Irving 47 1945 Simple supersymmetries. Zbl 0399.17005Freund, Peter G. O.; Kaplansky, Irving 46 1976 Lattices of continuous functions. Zbl 0031.21902Kaplansky, Irving 45 1947 ’Problems in the theory of rings’ revisited. Zbl 0208.29701Kaplansky, I. 44 1970 Dual rings. Zbl 0031.34401Kaplansky, Irving 42 1948 Rings for which every module is a direct sum of cyclic modules. Zbl 0043.26702Cohen, I. S.; Kaplansky, Irving 40 1951 The problem of the rooks and its applications. Zbl 0060.02903Kaplansky, Irving; Riordan, John 38 1946 Maximal fields with valuations. I, II. Zbl 0061.05506Kaplansky, Irving 38 1942 Bialgebras. Zbl 1311.16029Kaplansky, Irving 37 1975 A theorem on rings of operators. Zbl 0043.11502Kaplansky, Irving 37 1951 Groups with representations of bounded degree. Zbl 0037.01603Kaplansky, Irving 36 1949 Infinite-dimensional quadratic forms admitting composition. Zbl 0052.11004Kaplansky, Irving 36 1953 There are 913 regular ternary forms. Zbl 0923.11060Jagy, William C.; Kaplansky, Irving; Schiemann, Alexander 35 1997 The Weierstrass theorem in fields with valuations. Zbl 0038.07002Kaplansky, Irving 35 1950 The Virasoro algebra. Zbl 0515.17007Kaplansky, Irving 33 1982 A theorem on division rings. Zbl 0043.03701Kaplansky, Irving 32 1951 Solution of the ’Problème des ménages’. Zbl 0060.02904Kaplansky, Irving 32 1943 Semi -automorphisms of rings. Zbl 0029.24801Kaplansky, Irving 30 1947 Harish-Chandra modules over the Virasoro algebra. Zbl 0589.17013Kaplansky, Irving; Santharoubane, L. J. 29 1985 Topics in commutative ring theory. Zbl 0348.13001Kaplansky, Irving 28 1974 Topological methods in valuation theory. Zbl 0030.01004Kaplansky, Irving 27 1947 Locally compact rings. Zbl 0036.02203Kaplansky, Irving 27 1948 Submodules of quaternion algebras. Zbl 0212.39102Kaplansky, I. 26 1969 Ring isomorphisms of Banach algebras. Zbl 0058.10505Kaplansky, Irving 26 1954 Quadratic forms. Zbl 0051.02902Kaplansky, Irving 22 1953 The homological dimension of a quotient field. Zbl 0145.27803Kaplansky, Irving 21 1966 Symbolic solution of certain problems in permutations. Zbl 0063.03136Kaplansky, Irving 20 1944 On the dimension of modules and algebras. X: A right hereditary ring which is not left hereditary. Zbl 0084.26603Kaplansky, Irving 19 1958 Superalgebras. Zbl 0438.17003Kaplansky, Irving 19 1980 A generalization of Ulm’s theorem. Zbl 0054.01803Kaplansky, Irving; Mackey, George W. 19 1951 Lie algebras of characteristic \(p\). Zbl 0082.25103Kaplansky, Irving 18 1958 Dual modules over a valuation ring. I. Zbl 0053.35305Kaplansky, Irving 18 1953 The asymptotic number of Latin rectangles. Zbl 0060.02808Erdős, Paul; Kaplansky, Irving 18 1946 Topological rings. Zbl 0031.19902Kaplansky, Irving 17 1948 Some results on Abelian groups. Zbl 0047.25804Kaplansky, Irving 17 1952 Lie algebras and locally compact groups. (Algebry Li i lokal’no kompaktnye gruppy.) Übersetzung aus dem Englischen von E. A. Gorin. Zbl 0294.17003Kaplansky, Irving 17 1974 Group algebras in the large. Zbl 0044.32803Kaplansky, Irving 16 1951 Lattices of continuous functions. II. Zbl 0037.20301Kaplansky, Irving 15 1948 Primary ideals in group algebras. Zbl 0032.02902Kaplansky, Irving 14 1949 Matters mathematical. 2nd ed. Zbl 0386.00001Herstein, I. N.; Kaplansky, I. 13 1978 Fröhlich’s local quadratic forms. Zbl 0238.15011Kaplansky, Irving 13 1969 \(R\)-sequences and homological dimensions. Zbl 0106.25702Kaplansky, Irving 13 1962 Ternary positive quadratic forms that represent all odd positive integers. Zbl 0817.11024Kaplansky, Irving 12 1995 Regular Banach algebras. Zbl 0032.28401Kaplansky, Irving 12 1948 The Engel-Kolchin theorem revisited. Zbl 0364.15008Kaplansky, Irving 12 1977 Set theory and metric spaces. 2nd ed. Zbl 0397.54002Kaplansky, Irving 12 1977 An introduction to differential algebra. 2nd ed. Zbl 0954.12500Kaplansky, Irving 11 1996 An introduction to differential algebra. Translation from the English by G. I. Kleĭnerman. Edited by M. M. Postnikov. (Введение в дифференциальную алгебру.) Zbl 0089.02301Kaplansky, Irving 11 1959 The splitting of modules over integral domains. Zbl 0108.26302Kaplansky, Irving 11 1962 A characterization of Prüfer rings. Zbl 0118.27202Kaplansky, Irving 11 1961 A quasi-commutative ring that is not neo-commutative. Zbl 0814.16032Kaplansky, Irving 10 1994 Linear algebra and geometry. A second course. Reprint of the 1974 revised 2nd ed. Zbl 1040.15001Kaplansky, Irving 10 2003 Commutative rings. Zbl 0254.13003Kaplansky, Irving 10 1973 Functional analysis. Zbl 0087.31102Kaplansky, Irving 10 1958 Rings with a finite number of primes. I. Zbl 0060.07002Cohen, I. S.; Kaplansky, Irving 10 1946 Products of normal operators. Zbl 0050.34101Kaplansky, Irving 9 1953 On a problem of Kurosch and Jacobson. Zbl 0060.07403Kaplansky, Irving 9 1946 The asymptotic distribution of runs of consecutive elements. Zbl 0063.03137Kaplansky, Irving 9 1945 Fields and rings. Reprint of the second edition 1972. Zbl 1001.16501Kaplansky, Irving 8 1995 Semisimple alternative rings. Zbl 0042.26204Kaplansky, Irving 8 1951 The probleme des menages. Zbl 0060.02905Kaplansky, Irving; Riordan, John 8 1946 The first nontrivial genus of positive definite ternary forms. Zbl 0826.11015Kaplansky, Irving 7 1995 Selected papers and other writings. Zbl 0826.01039Kaplansky, Irving 7 1995 Locally compact rings. II. Zbl 0045.16102Kaplansky, Irving 7 1951 Quelques résultats sur les anneaux d’opérateurs. Zbl 0037.20501Kaplansky, Irving 6 1950 Three-dimensional division algebras. II. Zbl 0355.17007Kaplansky, Irving 6 1975 Algebraic polar decomposition. Zbl 0698.15006Kaplansky, Irving 5 1990 A contribution to von Neumann’s theory of games. II. Zbl 0854.90143Kaplansky, Irving 5 1995 Problems in the theory of rings. Zbl 0095.25602Kaplansky, Irving 5 1957 Representations of separable algebras. Zbl 0046.11904Kaplansky, Irving 5 1952 A common error concerning kurtosis. Zbl 0060.30004Kaplansky, Irving 5 1945 A note on groups without isomorphic subgroups. Zbl 0061.02805Kaplansky, Irving 5 1945 Determinants of matrices of the conference type. Zbl 0878.15001Bussemaker, Frans; Kaplansky, Irving; McKay, Brendan; Seidel, Jacob 4 1997 Polynomials in topological fields. Zbl 0032.10305Kaplansky, Irving 4 1948 Infinite abelian groups. Reprint of the 1969 revised edition published by University of Michigan Press. Zbl 1405.20001Kaplansky, Irving 2 2018 Selected papers and other writings. Reprint of the 1995 original. Zbl 1282.01003Kaplansky, Irving 1 2013 Linear algebra and geometry. A second course. Reprint of the 1974 revised 2nd ed. Zbl 1040.15001Kaplansky, Irving 10 2003 The forms \(x+32y^2\) and \(x+64y^2\). Zbl 1055.11026Kaplansky, Irving 4 2003 Indefinite binary quadratic forms with Markov ratio exceeding 9. Zbl 1084.11036Jagy, William C.; Kaplansky, Irving 1 2003 There are 913 regular ternary forms. Zbl 0923.11060Jagy, William C.; Kaplansky, Irving; Schiemann, Alexander 35 1997 Determinants of matrices of the conference type. Zbl 0878.15001Bussemaker, Frans; Kaplansky, Irving; McKay, Brendan; Seidel, Jacob 4 1997 An introduction to differential algebra. 2nd ed. Zbl 0954.12500Kaplansky, Irving 11 1996 Ternary positive quadratic forms that represent all odd positive integers. Zbl 0817.11024Kaplansky, Irving 12 1995 Fields and rings. Reprint of the second edition 1972. Zbl 1001.16501Kaplansky, Irving 8 1995 The first nontrivial genus of positive definite ternary forms. Zbl 0826.11015Kaplansky, Irving 7 1995 Selected papers and other writings. Zbl 0826.01039Kaplansky, Irving 7 1995 A contribution to von Neumann’s theory of games. II. Zbl 0854.90143Kaplansky, Irving 5 1995 Sums of squares, cubes, and higher powers. Zbl 0867.11066Jagy, William C.; Kaplansky, Irving 3 1995 Never too late. Zbl 0842.15005Kaplansky, Irving 1 1995 A quasi-commutative ring that is not neo-commutative. Zbl 0814.16032Kaplansky, Irving 10 1994 Algebraic polar decomposition. Zbl 0698.15006Kaplansky, Irving 5 1990 Nilpotent elements in Lie algebras. Zbl 0707.17010Kaplansky, Irving 3 1990 CCR-rings. Zbl 0674.16012Kaplansky, Irving 1 1989 Abraham Adrian Albert. Zbl 0667.01014Kaplansky, Irving 1 1989 Algebras with many derivations. Zbl 0592.17005Kaplansky, Irving 1 1986 Harish-Chandra modules over the Virasoro algebra. Zbl 0589.17013Kaplansky, Irving; Santharoubane, L. J. 29 1985 A cofinal coloring theorem for partially ordered algebras. Zbl 0559.06001Bergman, George M.; Kaplansky, Irving 2 1985 The Virasoro algebra. Zbl 0515.17007Kaplansky, Irving 33 1982 Some simple Lie algebras of characteristic 2. Zbl 0493.17005Kaplansky, Irving 1 1982 Superalgebras. Zbl 0438.17003Kaplansky, Irving 19 1980 Jacobson’s lemma revisited. Zbl 0425.16020Kaplansky, Irving 1 1980 Saunders Mac Lane: Selected papers. Zbl 0459.01024 2 1979 Matters mathematical. 2nd ed. Zbl 0386.00001Herstein, I. N.; Kaplansky, I. 13 1978 Five theorems on Abelian groups. Zbl 0398.20057Kaplansky, Irving 2 1978 The Engel-Kolchin theorem revisited. Zbl 0364.15008Kaplansky, Irving 12 1977 Set theory and metric spaces. 2nd ed. Zbl 0397.54002Kaplansky, Irving 12 1977 Simple supersymmetries. Zbl 0399.17005Freund, Peter G. O.; Kaplansky, Irving 46 1976 Three-dimensional division algebras. Zbl 0355.17006Kaplansky, Irving 4 1976 Bialgebras. Zbl 1311.16029Kaplansky, Irving 37 1975 Three-dimensional division algebras. II. Zbl 0355.17007Kaplansky, Irving 6 1975 Commutative rings. 2nd revised ed. Zbl 0296.13001Kaplansky, Irving 261 1974 Topics in commutative ring theory. Zbl 0348.13001Kaplansky, Irving 28 1974 Lie algebras and locally compact groups. (Algebry Li i lokal’no kompaktnye gruppy.) Übersetzung aus dem Englischen von E. A. Gorin. Zbl 0294.17003Kaplansky, Irving 17 1974 Equal sums of sixth powers. Zbl 0291.10018Brudno, Simcha; Kaplansky, Irving 2 1974 Commutative rings. Zbl 0254.13003Kaplansky, Irving 10 1973 Infinite-dimensional Lie algebras. Zbl 0267.17016Kaplansky, Irving 2 1973 Fields and rings. 2nd ed. Zbl 1001.16500Kaplansky, Irving 79 1972 Commutative rings. Zbl 0264.13001Kaplansky, Irving 4 1972 Adjacent prime ideals. Zbl 0229.13003Kaplansky, Irving 4 1972 Set theory and metric spaces. Zbl 0242.00006Kaplansky, Irving 3 1972 Lie algebras and locally compact groups. Zbl 0223.17001Kaplansky, Irving 60 1971 Commutative rings. Zbl 0203.34601Kaplansky, I. 558 1970 Fields and rings. Second Impression. Zbl 0238.16001Kaplansky, Irving 99 1970 Algebraic and analytic aspects of operator algebras. Zbl 0217.44902Kaplansky, I. 56 1970 ’Problems in the theory of rings’ revisited. Zbl 0208.29701Kaplansky, I. 44 1970 Infinite abelian groups. Revised edition. Zbl 0194.04402Kaplansky, Irving 191 1969 Linear Algebra and geometry. A second course. Zbl 0184.24201Kaplansky, Irving 106 1969 Submodules of quaternion algebras. Zbl 0212.39102Kaplansky, I. 26 1969 Fröhlich’s local quadratic forms. Zbl 0238.15011Kaplansky, Irving 13 1969 Abstract quadratic forms. Zbl 0238.15010Kaplansky, Irving; Shaker, Richard J. 4 1969 Rings of operators. Zbl 0174.18503Kaplansky, Irving 194 1968 Composition of binary quadratic forms. Zbl 0212.39101Kaplansky, I. 72 1968 The homological dimension of a quotient field. Zbl 0145.27803Kaplansky, Irving 21 1966 The theory of homological dimension. Zbl 0189.04003Kaplansky, Irving 1 1966 Lie algebras. Zbl 0147.28303Kaplansky, Irving 4 1963 \(R\)-sequences and homological dimensions. Zbl 0106.25702Kaplansky, Irving 13 1962 The splitting of modules over integral domains. Zbl 0108.26302Kaplansky, Irving 11 1962 Decomposability of modules. Zbl 0118.27302Kaplansky, Irving 3 1962 A characterization of Prüfer rings. Zbl 0118.27202Kaplansky, Irving 11 1961 An introduction to differential algebra. Translation from the English by G. I. Kleĭnerman. Edited by M. M. Postnikov. (Введение в дифференциальную алгебру.) Zbl 0089.02301Kaplansky, Irving 11 1959 Topological algebra. Zbl 0092.32002Kaplansky, Irving 2 1959 Projective modules. Zbl 0083.25802Kaplansky, Irving 198 1958 On the dimension of modules and algebras. X: A right hereditary ring which is not left hereditary. Zbl 0084.26603Kaplansky, Irving 19 1958 Lie algebras of characteristic \(p\). Zbl 0082.25103Kaplansky, Irving 18 1958 Functional analysis. Zbl 0087.31102Kaplansky, Irving 10 1958 Some aspects of analysis and probability. Zbl 0086.00102Kaplansky, Irving; Hewitt, Edwin; Hall, Marshall jun.; Fortet, Robert 4 1958 Derivations of Banach algebras. Zbl 0096.08301Kaplansky, Irving 1 1958 An introduction to differential algebra. Zbl 0083.03301Kaplansky, Irving 208 1957 Problems in the theory of rings. Zbl 0095.25602Kaplansky, Irving 5 1957 Any orthocomplemented complete modular lattice is a continuous geometry. Zbl 0065.01801Kaplansky, Irving 48 1955 Infinite abelian groups. Zbl 0057.01901Kaplansky, Irving 314 1954 Ring isomorphisms of Banach algebras. Zbl 0058.10505Kaplansky, Irving 26 1954 Modules over operator algebras. Zbl 0051.09101Kaplansky, Irving 132 1953 Infinite-dimensional quadratic forms admitting composition. Zbl 0052.11004Kaplansky, Irving 36 1953 Quadratic forms. Zbl 0051.02902Kaplansky, Irving 22 1953 Dual modules over a valuation ring. I. Zbl 0053.35305Kaplansky, Irving 18 1953 Products of normal operators. Zbl 0050.34101Kaplansky, Irving 9 1953 Completely continuous normal operators with property \(L\). Zbl 0051.09201Kaplansky, Irving 2 1953 Modules over Dedekind rings and valuation rings. Zbl 0046.25701Kaplansky, Irving 132 1952 Algebras of type I. Zbl 0047.35701Kaplansky, Irving 61 1952 Some results on Abelian groups. Zbl 0047.25804Kaplansky, Irving 17 1952 Representations of separable algebras. Zbl 0046.11904Kaplansky, Irving 5 1952 Symmetry of Banach algebras. Zbl 0047.11002Kaplansky, Irving 4 1952 Locally compact rings. III. Zbl 0048.02503Kaplansky, Irving 3 1952 Orthogonal similarity in infinite-dimensional spaces. Zbl 0047.10703Kaplansky, Irving 2 1952 Projections in Banach algebras. Zbl 0042.12402Kaplansky, Irving 129 1951 The structure of certain operator algebras. Zbl 0042.34901Kaplansky, Irving 97 1951 Rings for which every module is a direct sum of cyclic modules. Zbl 0043.26702Cohen, I. S.; Kaplansky, Irving 40 1951 A theorem on rings of operators. Zbl 0043.11502Kaplansky, Irving 37 1951 A theorem on division rings. Zbl 0043.03701Kaplansky, Irving 32 1951 A generalization of Ulm’s theorem. Zbl 0054.01803Kaplansky, Irving; Mackey, George W. 19 1951 Group algebras in the large. Zbl 0044.32803Kaplansky, Irving 16 1951 Semisimple alternative rings. Zbl 0042.26204Kaplansky, Irving 8 1951 Locally compact rings. II. Zbl 0045.16102Kaplansky, Irving 7 1951 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,873 Authors 63 Dobbs, David Earl 34 Heinzer, William J. 32 Anderson, Daniel D. 31 Fontana, Marco 30 Birkenmeier, Gary Francis 30 Moussavi, Ahmad 26 Vasconcelos, Wolmer V. 22 Kuhlmann, Franz-Viktor 21 Chang, Gyu Whan 21 Park, Jae Keol 20 Behboodi, Mahmood 20 Rizvi, Syed Tariq 19 Anderson, David Fenimore 19 Goldsmith, Brendan 19 Zafrullah, Muhammad 18 Jarboui, Noômen 17 Danchev, Peter Vassilev 17 Kaplansky, Irving 16 Brešar, Matej 16 Fuchs, László 16 Gilmer, Robert W. jun. 16 Hill, Paul D. 16 Lee, Yang 16 Shapiro, Jay Allen 16 Zabavsky, Bogdan Volodymyrovych 15 Kabbaj, Salah-Eddine 15 Salce, Luigi 15 Tuganbaev, Askar Akanovich 15 Warner, Seth 15 Zanardo, Paolo 14 Göbel, Rüdiger 14 Wiegand, Roger Allen 13 Bazzoni, Silvana 13 Facchini, Alberto 13 Faith, Carl C. 13 Kang, Byung Gyun 13 Rangaswamy, Kulumani M. 13 Zel’manov, Efim Isaakovich 12 Cohen, Jo-Ann D. 12 Foulis, David James 12 Goodearl, Kenneth R. 12 Hashemi, Ebrahim 12 Lim, Jung Wook 12 McAdam, Stephen J. 12 Šemrl, Peter 12 Tercan, Adnan 12 Wang, Fanggui 11 Beidar, Konstantin Igorevich 11 Crivei, Septimiu 11 Hou, Jinchuan 11 Mikhalëv, Aleksandr Vasil’evich 11 Oh, Byeong-Kweon 11 Park, Mi Hee 11 Radjavi, Heydar 11 Ratliff, Louis J. jun. 11 Rush, David E. 11 Saitô, Kazuyuki 11 Smith, Patrick Fleming 11 Ursul, Mihail I. 10 Phạm Ngọc Ánh 10 Braun, Amiram 10 Brewer, James W. 10 Chekhlov, Andreĭ Rostislavovich 10 Handelman, David E. 10 Koh, Kwangil 10 Lam, Tsit-Yuen 10 Mimouni, Abdeslam 10 Moradzadeh-Dehkordi, Ali 10 Okoh, Frank 10 Ovchinnikov, Alexey Igorevich 10 Paykan, Kamal 10 Picavet, Gabriel 10 Pulmannová, Sylvia 10 Tribak, Rachid 10 Vámos, Peter 10 Visweswaran, Subramanian 10 Wiegand, Sylvia M. 10 Zhao, Kaiming 9 Ben Nasr, Mabrouk 9 Bouchiba, Samir 9 Brown, Kenneth Alexander 9 Đoković, Dragomir Ž. 9 Dugas, Manfred H. 9 Hamhalter, Jan 9 Hausen, Jutta 9 Houston, Evan G. jun. 9 Jain, Surender Kumar 9 Jensen, Christian Ulrik 9 Kuhlmann, Salma 9 Lantz, David C. 9 Levy, Lawrence S. 9 Osofsky, Barbara L. 9 Papick, Ira J. 9 Peralta, Antonio M. 9 Rodríguez Palacios, Angel 9 Spirito, Dario 9 Srivastava, Ashish Kumar 8 Ayache, Ahmed 8 Berberian, Sterling K. 8 Fernández López, Antonio ...and 3,773 more Authors all top 5 Cited in 438 Serials 571 Journal of Algebra 311 Proceedings of the American Mathematical Society 279 Communications in Algebra 240 Transactions of the American Mathematical Society 233 Journal of Pure and Applied Algebra 111 Linear Algebra and its Applications 106 Mathematische Zeitschrift 101 Journal of Algebra and its Applications 88 Archiv der Mathematik 68 Mathematische Annalen 57 Advances in Mathematics 57 Bulletin of the American Mathematical Society 56 Journal of Mathematical Sciences (New York) 49 Journal of Mathematical Analysis and Applications 48 Journal of Functional Analysis 48 Tôhoku Mathematical Journal. Second Series 47 Rocky Mountain Journal of Mathematics 46 Rendiconti del Seminario Matematico della Università di Padova 41 Manuscripta Mathematica 36 Journal of Mathematical Physics 35 Linear and Multilinear Algebra 35 Topology and its Applications 34 Israel Journal of Mathematics 33 Mathematical Notes 30 Results in Mathematics 29 Journal of Number Theory 29 Rendiconti del Circolo Matemàtico di Palermo. Serie II 28 Bulletin of the Australian Mathematical Society 27 Algebra Universalis 25 Proceedings of the Japan Academy 23 Bulletin de la Société Mathématique de France 23 Compositio Mathematica 23 Inventiones Mathematicae 22 Ukrainian Mathematical Journal 22 Czechoslovak Mathematical Journal 21 Algebras and Representation Theory 20 Mathematical Proceedings of the Cambridge Philosophical Society 20 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 20 Journal of Combinatorial Theory. Series A 20 Semigroup Forum 18 Acta Mathematica Academiae Scientiarum Hungaricae 18 Communications in Mathematical Physics 17 Siberian Mathematical Journal 16 Annali di Matematica Pura ed Applicata. Serie Quarta 16 The Journal of Symbolic Logic 16 Monatshefte für Mathematik 16 Journal of Commutative Algebra 15 Glasgow Mathematical Journal 15 Forum Mathematicum 14 Beiträge zur Algebra und Geometrie 14 Algebra and Logic 14 Quaestiones Mathematicae 14 Journal of Symbolic Computation 14 Palestine Journal of Mathematics 13 Discrete Mathematics 13 International Journal of Theoretical Physics 13 Periodica Mathematica Hungarica 13 Annales de l’Institut Fourier 13 Journal of Soviet Mathematics 13 Ricerche di Matematica 13 European Journal of Combinatorics 13 Acta Mathematica Sinica. English Series 12 Arkiv för Matematik 12 Integral Equations and Operator Theory 12 Asian-European Journal of Mathematics 11 Filomat 11 Positivity 11 Mediterranean Journal of Mathematics 10 Acta Mathematica 10 Advances in Applied Mathematics 10 Order 10 Algebra Colloquium 10 Journal of the Australian Mathematical Society 9 Mathematica Slovaca 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Theoretical Computer Science 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Turkish Journal of Mathematics 8 Mathematische Nachrichten 8 Acta Mathematica Hungarica 8 Annals of Pure and Applied Logic 8 International Journal of Algebra and Computation 8 Bulletin of the American Mathematical Society. New Series 8 Expositiones Mathematicae 8 Indagationes Mathematicae. New Series 8 Applied Categorical Structures 8 Complex Analysis and Operator Theory 7 Mathematics of Computation 7 The Mathematical Intelligencer 7 International Journal of Mathematics and Mathematical Sciences 7 Kyungpook Mathematical Journal 7 Ergodic Theory and Dynamical Systems 7 Bulletin of the Iranian Mathematical Society 7 Journal de Théorie des Nombres de Bordeaux 7 The Ramanujan Journal 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Korean Journal of Mathematics 6 Functional Analysis and its Applications 6 Nagoya Mathematical Journal 6 Pacific Journal of Mathematics ...and 338 more Serials all top 5 Cited in 58 Fields 1,240 Commutative algebra (13-XX) 1,138 Associative rings and algebras (16-XX) 491 Functional analysis (46-XX) 451 Group theory and generalizations (20-XX) 306 Field theory and polynomials (12-XX) 298 Nonassociative rings and algebras (17-XX) 262 Number theory (11-XX) 258 Operator theory (47-XX) 230 Linear and multilinear algebra; matrix theory (15-XX) 199 Algebraic geometry (14-XX) 197 Order, lattices, ordered algebraic structures (06-XX) 188 Combinatorics (05-XX) 187 Mathematical logic and foundations (03-XX) 162 Category theory; homological algebra (18-XX) 134 Topological groups, Lie groups (22-XX) 100 General topology (54-XX) 71 Quantum theory (81-XX) 67 Ordinary differential equations (34-XX) 52 Computer science (68-XX) 48 Dynamical systems and ergodic theory (37-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Abstract harmonic analysis (43-XX) 33 \(K\)-theory (19-XX) 32 Algebraic topology (55-XX) 32 Manifolds and cell complexes (57-XX) 28 General algebraic systems (08-XX) 27 Probability theory and stochastic processes (60-XX) 27 Systems theory; control (93-XX) 26 Several complex variables and analytic spaces (32-XX) 23 Differential geometry (53-XX) 22 Functions of a complex variable (30-XX) 22 Partial differential equations (35-XX) 21 Operations research, mathematical programming (90-XX) 20 Geometry (51-XX) 16 History and biography (01-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Difference and functional equations (39-XX) 14 Information and communication theory, circuits (94-XX) 13 Measure and integration (28-XX) 12 Special functions (33-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Numerical analysis (65-XX) 11 General and overarching topics; collections (00-XX) 11 Real functions (26-XX) 11 Approximations and expansions (41-XX) 11 Statistics (62-XX) 8 Integral transforms, operational calculus (44-XX) 7 Mechanics of particles and systems (70-XX) 7 Relativity and gravitational theory (83-XX) 5 Convex and discrete geometry (52-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 2 Potential theory (31-XX) 2 Mathematics education (97-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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