Edit Profile (opens in new tab) Kaplansky, Irving Compute Distance To: Compute Author ID: kaplansky.irving Published as: Kaplansky, Irving; Kaplansky, I. 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 933 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 Tohoku 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 5,032 times in 4,404 Documents Cited by ▼ Year ▼ Commutative rings. Zbl 0203.34601Kaplansky, I. 550 1970 Infinite abelian groups. Zbl 0057.01901Kaplansky, Irving 297 1954 Commutative rings. 2nd revised ed. Zbl 0296.13001Kaplansky, Irving 241 1974 An introduction to differential algebra. Zbl 0083.03301Kaplansky, Irving 205 1957 Projective modules. Zbl 0083.25802Kaplansky, Irving 192 1958 Rings of operators. Zbl 0174.18503Kaplansky, Irving 190 1968 Infinite abelian groups. Revised edition. Zbl 0194.04402Kaplansky, Irving 185 1969 Elementary divisors and modules. Zbl 0036.01903Kaplansky, Irving 173 1949 Modules over Dedekind rings and valuation rings. Zbl 0046.25701Kaplansky, Irving 127 1952 Projections in Banach algebras. Zbl 0042.12402Kaplansky, Irving 124 1951 Topological rings. Zbl 0034.16604Kaplansky, Irving 123 1947 Modules over operator algebras. Zbl 0051.09101Kaplansky, Irving 120 1953 Maximal fields with valuations. Zbl 0063.03135Kaplansky, Irving 107 1942 Linear Algebra and geometry. A second course. Zbl 0184.24201Kaplansky, Irving 105 1969 Fields and rings. Second Impression. Zbl 0238.16001Kaplansky, Irving 99 1970 The structure of certain operator algebras. Zbl 0042.34901Kaplansky, Irving 95 1951 Rings with a polynomial identity. Zbl 0032.00701Kaplansky, Irving 86 1948 Topological representation of algebras. Zbl 0032.00702Arens, Richard F.; Kaplansky, Irving 81 1948 Fields and rings. 2nd ed. Zbl 1001.16500Kaplansky, Irving 77 1972 Normed algebras. Zbl 0033.18701Kaplansky, Irving 77 1949 Composition of binary quadratic forms. Zbl 0212.39101Kaplansky, I. 68 1968 Lie algebras and locally compact groups. Zbl 0223.17001Kaplansky, Irving 59 1971 Topological representation of algebras. II. Zbl 0035.30301Kaplansky, Irving 57 1950 Algebras of type I. Zbl 0047.35701Kaplansky, Irving 57 1952 Algebraic and analytic aspects of operator algebras. Zbl 0217.44902Kaplansky, I. 53 1970 Any orthocomplemented complete modular lattice is a continuous geometry. Zbl 0065.01801Kaplansky, Irving 47 1955 Lattices of continuous functions. Zbl 0031.21902Kaplansky, Irving 43 1947 A contribution to von Neumann’s theory of games. Zbl 0063.03139Kaplansky, Irving 43 1945 Dual rings. Zbl 0031.34401Kaplansky, Irving 40 1948 ’Problems in the theory of rings’ revisited. Zbl 0208.29701Kaplansky, I. 40 1970 Rings for which every module is a direct sum of cyclic modules. Zbl 0043.26702Cohen, I. S.; Kaplansky, Irving 39 1951 Simple supersymmetries. Zbl 0399.17005Freund, Peter G. O.; Kaplansky, Irving 37 1976 A theorem on rings of operators. Zbl 0043.11502Kaplansky, Irving 37 1951 Groups with representations of bounded degree. Zbl 0037.01603Kaplansky, Irving 36 1949 The problem of the rooks and its applications. Zbl 0060.02903Kaplansky, Irving; Riordan, John 36 1946 Bialgebras. Zbl 1311.16029Kaplansky, Irving 35 1975 The Weierstrass theorem in fields with valuations. Zbl 0038.07002Kaplansky, Irving 35 1950 Maximal fields with valuations. I, II. Zbl 0061.05506Kaplansky, Irving 35 1942 Infinite-dimensional quadratic forms admitting composition. Zbl 0052.11004Kaplansky, Irving 34 1953 The Virasoro algebra. Zbl 0515.17007Kaplansky, Irving 32 1982 A theorem on division rings. Zbl 0043.03701Kaplansky, Irving 32 1951 There are 913 regular ternary forms. Zbl 0923.11060Jagy, William C.; Kaplansky, Irving; Schiemann, Alexander 31 1997 Solution of the ’Problème des ménages’. Zbl 0060.02904Kaplansky, Irving 30 1943 Harish-Chandra modules over the Virasoro algebra. Zbl 0589.17013Kaplansky, Irving; Santharoubane, L. J. 29 1985 Semi -automorphisms of rings. Zbl 0029.24801Kaplansky, Irving 29 1947 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. 24 1969 Ring isomorphisms of Banach algebras. Zbl 0058.10505Kaplansky, Irving 23 1954 Quadratic forms. Zbl 0051.02902Kaplansky, Irving 22 1953 The homological dimension of a quotient field. Zbl 0145.27803Kaplansky, Irving 21 1966 A generalization of Ulm’s theorem. Zbl 0054.01803Kaplansky, Irving; Mackey, George W. 19 1951 Symbolic solution of certain problems in permutations. Zbl 0063.03136Kaplansky, Irving 19 1944 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 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 Topological rings. Zbl 0031.19902Kaplansky, Irving 17 1948 The asymptotic number of Latin rectangles. Zbl 0060.02808Erdős, Paul; Kaplansky, Irving 17 1946 Superalgebras. Zbl 0438.17003Kaplansky, Irving 16 1980 Group algebras in the large. Zbl 0044.32803Kaplansky, Irving 16 1951 Some results on Abelian groups. Zbl 0047.25804Kaplansky, Irving 16 1952 Dual modules over a valuation ring. I. Zbl 0053.35305Kaplansky, Irving 16 1953 Primary ideals in group algebras. Zbl 0032.02902Kaplansky, Irving 14 1949 Lattices of continuous functions. II. Zbl 0037.20301Kaplansky, Irving 14 1948 Fröhlich’s local quadratic forms. Zbl 0238.15011Kaplansky, Irving 13 1969 Matters mathematical. 2nd ed. Zbl 0386.00001Herstein, I. N.; Kaplansky, I. 13 1978 \(R\)-sequences and homological dimensions. Zbl 0106.25702Kaplansky, Irving 13 1962 The Engel-Kolchin theorem revisited. Zbl 0364.15008Kaplansky, Irving 12 1977 Set theory and metric spaces. 2nd ed. Zbl 0397.54002Kaplansky, Irving 12 1977 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 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 Commutative rings. Zbl 0254.13003Kaplansky, Irving 10 1973 Linear algebra and geometry. A second course. Reprint of the 1974 revised 2nd ed. Zbl 1040.15001Kaplansky, Irving 10 2003 A quasi-commutative ring that is not neo-commutative. Zbl 0814.16032Kaplansky, Irving 9 1994 Rings with a finite number of primes. I. Zbl 0060.07002Cohen, I. S.; Kaplansky, Irving 9 1946 On a problem of Kurosch and Jacobson. Zbl 0060.07403Kaplansky, Irving 9 1946 Functional analysis. Zbl 0087.31102Kaplansky, Irving 9 1958 An introduction to differential algebra. 2nd ed. Zbl 0954.12500Kaplansky, Irving 8 1996 Semisimple alternative rings. Zbl 0042.26204Kaplansky, Irving 8 1951 Products of normal operators. Zbl 0050.34101Kaplansky, Irving 8 1953 The asymptotic distribution of runs of consecutive elements. Zbl 0063.03137Kaplansky, Irving 8 1945 The first nontrivial genus of positive definite ternary forms. Zbl 0826.11015Kaplansky, Irving 7 1995 Fields and rings. Reprint of the second edition 1972. Zbl 1001.16501Kaplansky, Irving 7 1995 Selected papers and other writings. Zbl 0826.01039Kaplansky, Irving 7 1995 Locally compact rings. II. Zbl 0045.16102Kaplansky, Irving 7 1951 The probleme des menages. Zbl 0060.02905Kaplansky, Irving; Riordan, John 7 1946 Quelques résultats sur les anneaux d’opérateurs. Zbl 0037.20501Kaplansky, Irving 6 1950 Three-dimensional division algebras. II. Zbl 0355.17007Kaplansky, Irving 5 1975 Algebraic polar decomposition. Zbl 0698.15006Kaplansky, Irving 5 1990 Representations of separable algebras. Zbl 0046.11904Kaplansky, Irving 5 1952 A note on groups without isomorphic subgroups. Zbl 0061.02805Kaplansky, Irving 5 1945 Problems in the theory of rings. Zbl 0095.25602Kaplansky, Irving 5 1957 Lie algebras. Zbl 0147.28303Kaplansky, Irving 4 1963 Three-dimensional division algebras. Zbl 0355.17006Kaplansky, Irving 4 1976 Abstract quadratic forms. Zbl 0238.15010Kaplansky, Irving; Shaker, Richard J. 4 1969 Determinants of matrices of the conference type. Zbl 0878.15001Bussemaker, Frans; Kaplansky, Irving; McKay, Brendan; Seidel, Jacob 4 1997 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 31 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 8 1996 Ternary positive quadratic forms that represent all odd positive integers. Zbl 0817.11024Kaplansky, Irving 12 1995 The first nontrivial genus of positive definite ternary forms. Zbl 0826.11015Kaplansky, Irving 7 1995 Fields and rings. Reprint of the second edition 1972. Zbl 1001.16501Kaplansky, 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 4 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 9 1994 Algebraic polar decomposition. Zbl 0698.15006Kaplansky, Irving 5 1990 Nilpotent elements in Lie algebras. Zbl 0707.17010Kaplansky, Irving 3 1990 Abraham Adrian Albert. Zbl 0667.01014Kaplansky, Irving 1 1989 CCR-rings. Zbl 0674.16012Kaplansky, 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 32 1982 Some simple Lie algebras of characteristic 2. Zbl 0493.17005Kaplansky, Irving 1 1982 Superalgebras. Zbl 0438.17003Kaplansky, Irving 16 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 37 1976 Three-dimensional division algebras. Zbl 0355.17006Kaplansky, Irving 4 1976 Bialgebras. Zbl 1311.16029Kaplansky, Irving 35 1975 Three-dimensional division algebras. II. Zbl 0355.17007Kaplansky, Irving 5 1975 Commutative rings. 2nd revised ed. Zbl 0296.13001Kaplansky, Irving 241 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 77 1972 Adjacent prime ideals. Zbl 0229.13003Kaplansky, Irving 4 1972 Set theory and metric spaces. Zbl 0242.00006Kaplansky, Irving 3 1972 Commutative rings. Zbl 0264.13001Kaplansky, Irving 2 1972 Lie algebras and locally compact groups. Zbl 0223.17001Kaplansky, Irving 59 1971 Commutative rings. Zbl 0203.34601Kaplansky, I. 550 1970 Fields and rings. Second Impression. Zbl 0238.16001Kaplansky, Irving 99 1970 Algebraic and analytic aspects of operator algebras. Zbl 0217.44902Kaplansky, I. 53 1970 ’Problems in the theory of rings’ revisited. Zbl 0208.29701Kaplansky, I. 40 1970 Infinite abelian groups. Revised edition. Zbl 0194.04402Kaplansky, Irving 185 1969 Linear Algebra and geometry. A second course. Zbl 0184.24201Kaplansky, Irving 105 1969 Submodules of quaternion algebras. Zbl 0212.39102Kaplansky, I. 24 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 190 1968 Composition of binary quadratic forms. Zbl 0212.39101Kaplansky, I. 68 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 192 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 9 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 205 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 47 1955 Infinite abelian groups. Zbl 0057.01901Kaplansky, Irving 297 1954 Ring isomorphisms of Banach algebras. Zbl 0058.10505Kaplansky, Irving 23 1954 Modules over operator algebras. Zbl 0051.09101Kaplansky, Irving 120 1953 Infinite-dimensional quadratic forms admitting composition. Zbl 0052.11004Kaplansky, Irving 34 1953 Quadratic forms. Zbl 0051.02902Kaplansky, Irving 22 1953 Dual modules over a valuation ring. I. Zbl 0053.35305Kaplansky, Irving 16 1953 Products of normal operators. Zbl 0050.34101Kaplansky, Irving 8 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 127 1952 Algebras of type I. Zbl 0047.35701Kaplansky, Irving 57 1952 Some results on Abelian groups. Zbl 0047.25804Kaplansky, Irving 16 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 124 1951 The structure of certain operator algebras. Zbl 0042.34901Kaplansky, Irving 95 1951 Rings for which every module is a direct sum of cyclic modules. Zbl 0043.26702Cohen, I. S.; Kaplansky, Irving 39 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 3,744 Authors 59 Dobbs, David Earl 34 Heinzer, William J. 31 Anderson, Daniel D. 31 Fontana, Marco 30 Birkenmeier, Gary Francis 28 Moussavi, Ahmad 26 Vasconcelos, Wolmer V. 21 Chang, Gyu Whan 21 Park, Jae Keol 20 Kuhlmann, Franz-Viktor 20 Rizvi, Syed Tariq 19 Behboodi, Mahmood 18 Zafrullah, Muhammad 17 Goldsmith, Brendan 17 Jarboui, Noômen 17 Kaplansky, Irving 16 Anderson, David Fenimore 16 Brešar, Matej 16 Fuchs, László 16 Gilmer, Robert W. jun. 16 Hill, Paul D. 16 Shapiro, Jay Allen 16 Zabavsky, Bogdan Volodymyrovych 15 Kabbaj, Salah-Eddine 15 Lee, Yang 15 Salce, Luigi 15 Tuganbaev, Askar Akanovich 15 Warner, Seth 15 Zanardo, Paolo 14 Göbel, Rüdiger 13 Bazzoni, Silvana 13 Facchini, Alberto 13 Faith, Carl C. 13 Kang, Byung Gyun 13 Rangaswamy, Kulumani M. 13 Wiegand, Roger Allen 13 Zel’manov, Efim Isaakovich 12 Cohen, Jo-Ann D. 12 Danchev, Peter Vassilev 12 Foulis, David James 12 Goodearl, Kenneth R. 12 McAdam, Stephen J. 12 Šemrl, Peter 12 Wang, Fanggui 11 Beidar, Konstantin Igorevich 11 Hashemi, Ebrahim 11 Hou, Jinchuan 11 Radjavi, Heydar 11 Ratliff, Louis J. jun. 11 Rush, David E. 11 Saitô, Kazuyuki 11 Smith, Patrick Fleming 11 Ursul, Mihail I. 10 Braun, Amiram 10 Brewer, James W. 10 Handelman, David E. 10 Koh, Kwangil 10 Lam, Tsit-Yuen 10 Lim, Jung Wook 10 Mimouni, Abdeslam 10 Okoh, Frank 10 Park, Mi Hee 10 Paykan, Kamal 10 Picavet, Gabriel 10 Pulmannová, Sylvia 10 Vámos, Peter 10 Visweswaran, Subramanian 10 Zhao, Kaiming 9 Phạm Ngọc Ánh 9 Ben Nasr, Mabrouk 9 Brown, Kenneth Alexander 9 Crivei, Septimiu 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 Lantz, David C. 9 Levy, Lawrence S. 9 Mikhalëv, Aleksandr Vasil’evich 9 Moradzadeh-Dehkordi, Ali 9 Oh, Byeong-Kweon 9 Osofsky, Barbara L. 9 Ovchinnikov, Alexey Igorevich 9 Papick, Ira J. 9 Shchedryk, Volodymyr P. 9 Srivastava, Ashish Kumar 9 Tercan, Adnan 9 Tribak, Rachid 9 Wiegand, Sylvia M. 8 Ayache, Ahmed 8 Berberian, Sterling K. 8 Bouchiba, Samir 8 Fernández López, Antonio 8 Henriksen, Melvin 8 Herstein, Israel Nathan 8 Hochster, Melvin 8 Kadison, Richard Vincent ...and 3,644 more Authors all top 5 Cited in 416 Serials 563 Journal of Algebra 311 Proceedings of the American Mathematical Society 274 Communications in Algebra 238 Transactions of the American Mathematical Society 225 Journal of Pure and Applied Algebra 108 Linear Algebra and its Applications 104 Mathematische Zeitschrift 96 Journal of Algebra and its Applications 88 Archiv der Mathematik 68 Mathematische Annalen 57 Advances in Mathematics 57 Bulletin of the American Mathematical Society 53 Journal of Mathematical Sciences (New York) 48 Journal of Functional Analysis 48 Tohoku Mathematical Journal. Second Series 47 Rocky Mountain Journal of Mathematics 46 Journal of Mathematical Analysis and Applications 44 Rendiconti del Seminario Matematico della Università di Padova 41 Manuscripta Mathematica 36 Journal of Mathematical Physics 35 Topology and its Applications 34 Israel Journal of Mathematics 34 Linear and Multilinear Algebra 32 Mathematical Notes 29 Results in Mathematics 28 Bulletin of the Australian Mathematical Society 28 Rendiconti del Circolo Matemàtico di Palermo. Serie II 27 Algebra Universalis 27 Journal of Number Theory 25 Proceedings of the Japan Academy 23 Bulletin de la Société Mathématique de France 23 Inventiones Mathematicae 22 Ukrainian Mathematical Journal 22 Compositio Mathematica 22 Czechoslovak Mathematical Journal 21 Algebras and Representation Theory 20 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 20 Semigroup Forum 19 Mathematical Proceedings of the Cambridge Philosophical Society 19 Journal of Combinatorial Theory. Series A 18 Communications in Mathematical Physics 17 Acta Mathematica Academiae Scientiarum Hungaricae 17 Siberian Mathematical Journal 16 Annali di Matematica Pura ed Applicata. Serie Quarta 16 The Journal of Symbolic Logic 16 Journal of Commutative Algebra 15 Glasgow Mathematical Journal 15 Monatshefte für Mathematik 14 Beiträge zur Algebra und Geometrie 14 Algebra and Logic 14 Quaestiones Mathematicae 14 Forum Mathematicum 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 Journal of Symbolic Computation 11 Positivity 11 Mediterranean Journal of Mathematics 10 Acta Mathematica 10 Advances in Applied Mathematics 10 Algebra Colloquium 10 Journal of the Australian Mathematical Society 10 Asian-European Journal of Mathematics 9 Mathematica Slovaca 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Theoretical Computer Science 9 Order 8 Mathematische Nachrichten 8 Acta Mathematica Hungarica 8 Annals of Pure and Applied Logic 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Applied Categorical Structures 8 Palestine Journal of Mathematics 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 International Journal of Algebra and Computation 7 Bulletin of the American Mathematical Society. New Series 7 Expositiones Mathematicae 7 Indagationes Mathematicae. New Series 7 Journal de Théorie des Nombres de Bordeaux 7 The Ramanujan Journal 7 Complex Analysis and Operator Theory 6 Functional Analysis and its Applications 6 Nagoya Mathematical Journal 6 Studies in Applied Mathematics 6 Bulletin of the Iranian Mathematical Society 6 Science in China. Series A 6 Applicable Algebra in Engineering, Communication and Computing 6 Integral Transforms and Special Functions 6 International Electronic Journal of Algebra (IEJA) ...and 316 more Serials all top 5 Cited in 58 Fields 1,196 Commutative algebra (13-XX) 1,098 Associative rings and algebras (16-XX) 471 Functional analysis (46-XX) 434 Group theory and generalizations (20-XX) 290 Field theory and polynomials (12-XX) 289 Nonassociative rings and algebras (17-XX) 253 Number theory (11-XX) 241 Operator theory (47-XX) 224 Linear and multilinear algebra; matrix theory (15-XX) 192 Algebraic geometry (14-XX) 185 Order, lattices, ordered algebraic structures (06-XX) 182 Mathematical logic and foundations (03-XX) 178 Combinatorics (05-XX) 155 Category theory; homological algebra (18-XX) 124 Topological groups, Lie groups (22-XX) 96 General topology (54-XX) 70 Quantum theory (81-XX) 63 Ordinary differential equations (34-XX) 50 Computer science (68-XX) 45 Dynamical systems and ergodic theory (37-XX) 45 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 44 Abstract harmonic analysis (43-XX) 32 Algebraic topology (55-XX) 31 Manifolds and cell complexes (57-XX) 30 \(K\)-theory (19-XX) 28 General algebraic systems (08-XX) 26 Several complex variables and analytic spaces (32-XX) 26 Systems theory; control (93-XX) 25 Probability theory and stochastic processes (60-XX) 22 Partial differential equations (35-XX) 19 Functions of a complex variable (30-XX) 19 Geometry (51-XX) 19 Operations research, mathematical programming (90-XX) 18 Differential geometry (53-XX) 16 History and biography (01-XX) 13 Measure and integration (28-XX) 13 Special functions (33-XX) 13 Information and communication theory, circuits (94-XX) 12 Difference and functional equations (39-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Numerical analysis (65-XX) 11 Real functions (26-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 General and overarching topics; collections (00-XX) 10 Approximations and expansions (41-XX) 8 Integral transforms, operational calculus (44-XX) 8 Statistics (62-XX) 7 Relativity and gravitational theory (83-XX) 6 Mechanics of particles and systems (70-XX) 5 Convex and discrete geometry (52-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 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. Updates and corrections should be made in Wikidata.