Edit Profile Kaplansky, Irving Compute Distance To: Compute Author ID: kaplansky.irving Published as: Kaplansky, I.; Kaplansky, Irving Homepage: https://math.berkeley.edu/people/faculty/irving-kaplansky External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor Member of Collective: Schark, I. J. Documents Indexed: 163 Publications since 1939, including 29 Books Biographic References: 2 Publications all top 5 Co-Authors 137 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 Mackey, George Whitelaw 1 McCrimmon, Kevin 1 McKay, Brendan D. 1 Pollard, Harry 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) 16 Associative rings and algebras (16-XX) 14 Commutative algebra (13-XX) 13 History and biography (01-XX) 10 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 140 Publications have been cited 5,215 times in 4,326 Documents Cited by ▼ Year ▼ Commutative rings. Zbl 0203.34601Kaplansky, I. 534 1970 Commutative rings. 2nd revised ed. Zbl 0296.13001Kaplansky, Irving 389 1974 Infinite abelian groups. Zbl 0057.01901Kaplansky, Irving 290 1954 An introduction to differential algebra. Zbl 0083.03301Kaplansky, Irving 232 1957 Rings of operators. Zbl 0174.18503Kaplansky, Irving 227 1968 Infinite abelian groups. Revised edition. Zbl 0194.04402Kaplansky, Irving 198 1969 Projective modules. Zbl 0083.25802Kaplansky, Irving 187 1958 Linear Algebra and geometry. A second course. Zbl 0184.24201Kaplansky, Irving 177 1969 Elementary divisors and modules. Zbl 0036.01903Kaplansky, Irving 154 1949 Topological rings. Zbl 0034.16604Kaplansky, Irving 121 1947 Modules over Dedekind rings and valuation rings. Zbl 0046.25701Kaplansky, Irving 119 1952 Projections in Banach algebras. Zbl 0042.12402Kaplansky, Irving 116 1951 Maximal fields with valuations. Zbl 0063.03135Kaplansky, Irving 107 1942 Modules over operator algebras. Zbl 0051.09101Kaplansky, Irving 106 1953 Fields and rings. Second Impression. Zbl 0238.16001Kaplansky, Irving 101 1970 The structure of certain operator algebras. Zbl 0042.34901Kaplansky, Irving 90 1951 Fields and rings. 2nd ed. Zbl 1001.16500Kaplansky, Irving 81 1972 Topological representation of algebras. Zbl 0032.00702Arens, Richard F.; Kaplansky, Irving 78 1948 Normed algebras. Zbl 0033.18701Kaplansky, Irving 77 1949 Rings with a polynomial identity. Zbl 0032.00701Kaplansky, Irving 77 1948 Lie algebras and locally compact groups. Zbl 0223.17001Kaplansky, Irving 65 1971 Composition of binary quadratic forms. Zbl 0212.39101Kaplansky, I. 65 1968 Algebras of type I. Zbl 0047.35701Kaplansky, Irving 55 1952 Topological representation of algebras. II. Zbl 0035.30301Kaplansky, Irving 53 1950 Algebraic and analytic aspects of operator algebras. Zbl 0217.44902Kaplansky, I. 52 1970 Any orthocomplemented complete modular lattice is a continuous geometry. Zbl 0065.01801Kaplansky, Irving 46 1955 Lattices of continuous functions. Zbl 0031.21902Kaplansky, Irving 41 1947 Bialgebras. Zbl 1311.16029Kaplansky, Irving 39 1975 Simple supersymmetries. Zbl 0399.17005Freund, Peter G. O.; Kaplansky, Irving 38 1976 Dual rings. Zbl 0031.34401Kaplansky, Irving 38 1948 A contribution to von Neumann’s theory of games. Zbl 0063.03139Kaplansky, Irving 38 1945 Rings for which every module is a direct sum of cyclic modules. Zbl 0043.26702Cohen, I. S.; Kaplansky, Irving 37 1951 Topics in commutative ring theory. Zbl 0348.13001Kaplansky, Irving 35 1974 ’Problems in the theory of rings’ revisited. Zbl 0208.29701Kaplansky, I. 35 1970 Infinite-dimensional quadratic forms admitting composition. Zbl 0052.11004Kaplansky, Irving 35 1953 A theorem on rings of operators. Zbl 0043.11502Kaplansky, Irving 35 1951 The Weierstrass theorem in fields with valuations. Zbl 0038.07002Kaplansky, Irving 35 1950 Groups with representations of bounded degree. Zbl 0037.01603Kaplansky, Irving 33 1949 The Virasoro algebra. Zbl 0515.17007Kaplansky, Irving 32 1982 A theorem on division rings. Zbl 0043.03701Kaplansky, Irving 32 1951 Harish-Chandra modules over the Virasoro algebra. Zbl 0589.17013Kaplansky, Irving; Santharoubane, L. J. 31 1985 The problem of the rooks and its applications. Zbl 0060.02903Kaplansky, Irving; Riordan, John 31 1946 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 28 1974 Solution of the ’Problème des ménages’. Zbl 0060.02904Kaplansky, Irving 28 1943 Locally compact rings. Zbl 0036.02203Kaplansky, Irving 27 1948 Topological methods in valuation theory. Zbl 0030.01004Kaplansky, Irving 27 1947 Semi -automorphisms of rings. Zbl 0029.24801Kaplansky, Irving 27 1947 There are 913 regular ternary forms. Zbl 0923.11060Jagy, William C.; Kaplansky, Irving; Schiemann, Alexander 26 1997 Maximal fields with valuations. I, II. Zbl 0061.05506Kaplansky, Irving 25 1942 Submodules of quaternion algebras. Zbl 0212.39102Kaplansky, I. 22 1969 Ring isomorphisms of Banach algebras. Zbl 0058.10505Kaplansky, Irving 22 1954 Quadratic forms. Zbl 0051.02902Kaplansky, Irving 22 1953 The homological dimension of a quotient field. Zbl 0145.27803Kaplansky, Irving 20 1966 On the dimension of modules and algebras. X: A right hereditary ring which is not left hereditary. Zbl 0084.26603Kaplansky, Irving 19 1958 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 Lie algebras of characteristic \(p\). Zbl 0082.25103Kaplansky, Irving 18 1958 Commutative rings. Zbl 0254.13003Kaplansky, Irving 17 1973 Dual modules over a valuation ring. I. Zbl 0053.35305Kaplansky, Irving 16 1953 Topological rings. Zbl 0031.19902Kaplansky, Irving 16 1948 The asymptotic number of Latin rectangles. Zbl 0060.02808Erdős, Paul; Kaplansky, Irving 16 1946 Superalgebras. Zbl 0438.17003Kaplansky, Irving 15 1980 Group algebras in the large. Zbl 0044.32803Kaplansky, Irving 15 1951 Some results on Abelian groups. Zbl 0047.25804Kaplansky, Irving 14 1952 Primary ideals in group algebras. Zbl 0032.02902Kaplansky, Irving 14 1949 The Engel-Kolchin theorem revisited. Zbl 0364.15008Kaplansky, Irving 13 1977 Matters mathematical. 2nd ed. Zbl 0386.00001Herstein, I. N.; Kaplansky, I. 12 1978 Set theory and metric spaces. 2nd ed. Zbl 0397.54002Kaplansky, Irving 12 1977 \(R\)-sequences and homological dimensions. Zbl 0106.25702Kaplansky, Irving 12 1962 Lattices of continuous functions. II. Zbl 0037.20301Kaplansky, Irving 12 1948 Regular Banach algebras. Zbl 0032.28401Kaplansky, Irving 12 1948 A quasi-commutative ring that is not neo-commutative. Zbl 0814.16032Kaplansky, Irving 11 1994 Fröhlich’s local quadratic forms. Zbl 0238.15011Kaplansky, Irving 11 1969 The splitting of modules over integral domains. Zbl 0108.26302Kaplansky, Irving 11 1962 A characterization of Prüfer rings. Zbl 0118.27202Kaplansky, Irving 11 1961 Functional analysis. Zbl 0087.31102Kaplansky, Irving 11 1958 Ternary positive quadratic forms that represent all odd positive integers. Zbl 0817.11024Kaplansky, Irving 10 1995 An introduction to differential algebra. Translation from the English by G. I. Kleĭnerman. Edited by M. M. Postnikov. Zbl 0089.02301Kaplansky, Irving 10 1959 An introduction to differential algebra. 2nd ed. Zbl 0954.12500Kaplansky, Irving 9 1996 On a problem of Kurosch and Jacobson. Zbl 0060.07403Kaplansky, Irving 9 1946 Linear algebra and geometry. A second course. Reprint of the 1974 revised 2nd ed. Zbl 1040.15001Kaplansky, Irving 8 2003 Semisimple alternative rings. Zbl 0042.26204Kaplansky, Irving 8 1951 The asymptotic distribution of runs of consecutive elements. Zbl 0063.03137Kaplansky, Irving 8 1945 Selected papers and other writings. Zbl 0826.01039Kaplansky, Irving 7 1995 The first nontrivial genus of positive definite ternary forms. Zbl 0826.11015Kaplansky, Irving 7 1995 Three-dimensional division algebras. II. Zbl 0355.17007Kaplansky, Irving 7 1975 Problems in the theory of rings. Zbl 0095.25602Kaplansky, Irving 7 1957 Products of normal operators. Zbl 0050.34101Kaplansky, Irving 7 1953 Locally compact rings. II. Zbl 0045.16102Kaplansky, Irving 7 1951 Rings with a finite number of primes. I. Zbl 0060.07002Cohen, I. S.; Kaplansky, Irving 7 1946 Algebraic polar decomposition. Zbl 0698.15006Kaplansky, Irving 6 1990 Quelques résultats sur les anneaux d’opérateurs. Zbl 0037.20501Kaplansky, Irving 6 1950 Fields and rings. Reprint of the second edition 1972. Zbl 1001.16501Kaplansky, Irving 5 1995 Some simple Lie algebras of characteristic 2. Zbl 0493.17005Kaplansky, Irving 5 1982 Three-dimensional division algebras. Zbl 0355.17006Kaplansky, Irving 5 1976 Some aspects of analysis and probability. Zbl 0086.00102Kaplansky, Irving; Hewitt, Edwin; Hall, Marshall jun.; Fortet, Robert 5 1958 Representations of separable algebras. Zbl 0046.11904Kaplansky, Irving 5 1952 The probleme des menages. Zbl 0060.02905Kaplansky, Irving; Riordan, John 5 1946 A note on groups without isomorphic subgroups. Zbl 0061.02805Kaplansky, Irving 5 1945 The forms \(x+32y^2\) and \(x+64y^2\). Zbl 1055.11026Kaplansky, Irving 4 2003 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 8 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 26 1997 Determinants of matrices of the conference type. Zbl 0878.15001Bussemaker, Frans; Kaplansky, Irving; McKay, Brendan; Seidel, Jacob 4 1997 Integers uniquely represented by certain ternary forms. Zbl 0867.11028Kaplansky, Irving 1 1997 An introduction to differential algebra. 2nd ed. Zbl 0954.12500Kaplansky, Irving 9 1996 Ternary positive quadratic forms that represent all odd positive integers. Zbl 0817.11024Kaplansky, Irving 10 1995 Selected papers and other writings. Zbl 0826.01039Kaplansky, Irving 7 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 5 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 11 1994 Algebraic polar decomposition. Zbl 0698.15006Kaplansky, Irving 6 1990 Nilpotent elements in Lie algebras. Zbl 0707.17010Kaplansky, Irving 2 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. 31 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 5 1982 Superalgebras. Zbl 0438.17003Kaplansky, Irving 15 1980 Jacobson’s lemma revisited. Zbl 0425.16020Kaplansky, Irving 1 1980 Saunders Mac Lane: Selected papers. Zbl 0459.01024Kaplansky, I. (ed.) 2 1979 Composition of quadratic and alternate forms. Zbl 0405.15020Kaplansky, Irving 2 1979 Matters mathematical. 2nd ed. Zbl 0386.00001Herstein, I. N.; Kaplansky, I. 12 1978 Five theorems on Abelian groups. Zbl 0398.20057Kaplansky, Irving 2 1978 The Engel-Kolchin theorem revisited. Zbl 0364.15008Kaplansky, Irving 13 1977 Set theory and metric spaces. 2nd ed. Zbl 0397.54002Kaplansky, Irving 12 1977 Simple supersymmetries. Zbl 0399.17005Freund, Peter G. O.; Kaplansky, Irving 38 1976 Three-dimensional division algebras. Zbl 0355.17006Kaplansky, Irving 5 1976 Bialgebras. Zbl 1311.16029Kaplansky, Irving 39 1975 Three-dimensional division algebras. II. Zbl 0355.17007Kaplansky, Irving 7 1975 Infinite-dimensional Lie algebras. II. Zbl 0341.17005Kaplansky, Irving; Kibler, Robert E. 1 1975 Commutative rings. 2nd revised ed. Zbl 0296.13001Kaplansky, Irving 389 1974 Topics in commutative ring theory. Zbl 0348.13001Kaplansky, Irving 35 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 28 1974 Equal sums of sixth powers. Zbl 0291.10018Brudno, Simcha; Kaplansky, Irving 2 1974 Commutative rings. Zbl 0254.13003Kaplansky, Irving 17 1973 Infinite-dimensional Lie algebras. Zbl 0267.17016Kaplansky, Irving 2 1973 Fields and rings. 2nd ed. Zbl 1001.16500Kaplansky, Irving 81 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 2 1972 Lie algebras and locally compact groups. Zbl 0223.17001Kaplansky, Irving 65 1971 Commutative rings. Zbl 0203.34601Kaplansky, I. 534 1970 Fields and rings. Second Impression. Zbl 0238.16001Kaplansky, Irving 101 1970 Algebraic and analytic aspects of operator algebras. Zbl 0217.44902Kaplansky, I. 52 1970 ’Problems in the theory of rings’ revisited. Zbl 0208.29701Kaplansky, I. 35 1970 Infinite abelian groups. Revised edition. Zbl 0194.04402Kaplansky, Irving 198 1969 Linear Algebra and geometry. A second course. Zbl 0184.24201Kaplansky, Irving 177 1969 Submodules of quaternion algebras. Zbl 0212.39102Kaplansky, I. 22 1969 Fröhlich’s local quadratic forms. Zbl 0238.15011Kaplansky, Irving 11 1969 Abstract quadratic forms. Zbl 0238.15010Kaplansky, Irving; Shaker, Richard J. 4 1969 Rings of operators. Zbl 0174.18503Kaplansky, Irving 227 1968 Composition of binary quadratic forms. Zbl 0212.39101Kaplansky, I. 65 1968 The homological dimension of a quotient field. Zbl 0145.27803Kaplansky, Irving 20 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 12 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. Zbl 0089.02301Kaplansky, Irving 10 1959 Topological algebra. Zbl 0092.32002Kaplansky, Irving 1 1959 Projective modules. Zbl 0083.25802Kaplansky, Irving 187 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 11 1958 Some aspects of analysis and probability. Zbl 0086.00102Kaplansky, Irving; Hewitt, Edwin; Hall, Marshall jun.; Fortet, Robert 5 1958 Derivations of Banach algebras. Zbl 0096.08301Kaplansky, Irving 1 1958 An introduction to differential algebra. Zbl 0083.03301Kaplansky, Irving 232 1957 Problems in the theory of rings. Zbl 0095.25602Kaplansky, Irving 7 1957 Any orthocomplemented complete modular lattice is a continuous geometry. Zbl 0065.01801Kaplansky, Irving 46 1955 Infinite abelian groups. Zbl 0057.01901Kaplansky, Irving 290 1954 Ring isomorphisms of Banach algebras. Zbl 0058.10505Kaplansky, Irving 22 1954 Modules over operator algebras. Zbl 0051.09101Kaplansky, Irving 106 1953 Infinite-dimensional quadratic forms admitting composition. Zbl 0052.11004Kaplansky, Irving 35 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 7 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 119 1952 Algebras of type I. Zbl 0047.35701Kaplansky, Irving 55 1952 Some results on Abelian groups. Zbl 0047.25804Kaplansky, Irving 14 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 116 1951 The structure of certain operator algebras. Zbl 0042.34901Kaplansky, Irving 90 1951 Rings for which every module is a direct sum of cyclic modules. Zbl 0043.26702Cohen, I. S.; Kaplansky, Irving 37 1951 A theorem on rings of operators. Zbl 0043.11502Kaplansky, Irving 35 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 ...and 40 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,705 Authors 60 Dobbs, David Earl 34 Heinzer, William J. 32 Fontana, Marco 30 Anderson, Daniel D. 30 Birkenmeier, Gary Francis 26 Moussavi, Ahmad 26 Vasconcelos, Wolmer V. 23 Park, Jae Keol 21 Chang, Gyu Whan 19 Behboodi, Mahmood 19 Rizvi, Syed Tariq 18 Kuhlmann, Franz-Viktor 17 Anderson, David Fenimore 17 Brešar, Matej 17 Kaplansky, Irving 17 Zafrullah, Muhammad 16 Fuchs, László 16 Gilmer, Robert W. jun. 16 Goldsmith, Brendan 16 Hill, Paul D. 16 Lee, Yang 15 Göbel, Rüdiger 15 Salce, Luigi 15 Shapiro, Jay Allen 15 Warner, Seth 15 Zabavsky, Bogdan Volodymyrovych 14 Jarboui, Noômen 14 Kabbaj, Salah-Eddine 14 Zanardo, Paolo 13 Cohen, Jo-Ann D. 13 Faith, Carl C. 13 Goodearl, Kenneth R. 13 Kang, Byung Gyun 13 Radjavi, Heydar 13 Wiegand, Roger Allen 12 Bazzoni, Silvana 12 Đoković, Dragomir Ž. 12 Foulis, David James 12 McAdam, Stephen J. 12 Rangaswamy, Kulumani M. 12 Šemrl, Peter 12 Singer, Michael F. 12 Tuganbaev, Askar Akanovich 12 Wang, Fanggui 12 Zel’manov, Efim Isaakovich 11 Beidar, Konstantin Igorevich 11 Danchev, Peter Vassilev 11 Facchini, Alberto 11 Hashemi, Ebrahim 11 Hou, Jinchuan 11 Koh, Kwangil 11 Ratliff, Louis J. jun. 11 Rush, David E. 11 Saitô, Kazuyuki 11 Smith, Patrick Fleming 11 Ursul, Mihail I. 10 Brewer, James W. 10 Brown, Kenneth Alexander 10 Handelman, David E. 10 Lam, Tsit-Yuen 10 Okoh, Frank 10 Osofsky, Barbara L. 10 Paykan, Kamal 10 Picavet, Gabriel 10 Vámos, Peter 10 Zhao, Kaiming 9 Ánh, Pham Ngoc 9 Ara, Pere 9 Ben Nasr, Mabrouk 9 Braun, Amiram 9 Dugas, Manfred H. 9 Hamhalter, Jan 9 Hausen, Jutta 9 Houston, Evan G. jun. 9 Jensen, Christian Ulrik 9 Kim, Nam Kyun 9 Lantz, David C. 9 Levy, Lawrence S. 9 Lim, Jung Wook 9 Mikhalëv, Aleksandr Vasil’evich 9 Mimouni, Abdeslam 9 Moradzadeh-Dehkordi, Ali 9 Oh, Byeong-Kweon 9 Ovchinnikov, Alexey Igorevich 9 Papick, Ira J. 9 Park, Mi Hee 9 Pulmannová, Sylvia 9 Schacher, Murray M. 9 Srivastava, Ashish Kumar 9 Visweswaran, Subramanian 9 Wiegand, Sylvia M. 8 Berberian, Sterling K. 8 Chabert, Jean-Luc 8 Dikranjan, Dikran N. 8 Fernández López, Antonio 8 Henriksen, Melvin 8 Herstein, Israel Nathan 8 Hochster, Melvin 8 Jain, Surender Kumar 8 Kadison, Richard Vincent ...and 3,605 more Authors all top 5 Cited in 383 Serials 610 Journal of Algebra 311 Proceedings of the American Mathematical Society 268 Communications in Algebra 238 Transactions of the American Mathematical Society 233 Journal of Pure and Applied Algebra 136 Linear Algebra and its Applications 103 Mathematische Zeitschrift 87 Archiv der Mathematik 79 Journal of Algebra and its Applications 67 Mathematische Annalen 59 Advances in Mathematics 57 Bulletin of the American Mathematical Society 53 Journal of Functional Analysis 48 Tohoku Mathematical Journal. Second Series 47 Journal of Mathematical Sciences (New York) 46 Journal of Mathematical Analysis and Applications 45 Rocky Mountain Journal of Mathematics 41 Manuscripta Mathematica 41 Rendiconti del Seminario Matematico della Università di Padova 37 Topology and its Applications 36 Journal of Mathematical Physics 33 Israel Journal of Mathematics 32 Mathematical Notes 29 Linear and Multilinear Algebra 28 Bulletin of the Australian Mathematical Society 28 Journal of Number Theory 27 Rendiconti del Circolo Matemàtico di Palermo. Serie II 27 Results in Mathematics 25 Proceedings of the Japan Academy 24 Algebra Universalis 23 Bulletin de la Société Mathématique de France 23 Inventiones Mathematicae 22 Compositio Mathematica 22 Journal of Combinatorial Theory. Series A 22 Journal of Symbolic Computation 21 Ukrainian Mathematical Journal 21 Czechoslovak Mathematical Journal 20 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 19 Mathematical Proceedings of the Cambridge Philosophical Society 19 Semigroup Forum 19 Algebras and Representation Theory 17 Acta Mathematica Academiae Scientiarum Hungaricae 16 Communications in Mathematical Physics 16 Siberian Mathematical Journal 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Journal of Commutative Algebra 14 Algebra and Logic 14 The Journal of Symbolic Logic 14 Monatshefte für Mathematik 13 Discrete Mathematics 13 Periodica Mathematica Hungarica 13 Glasgow Mathematical Journal 13 Journal of Soviet Mathematics 13 Quaestiones Mathematicae 13 Ricerche di Matematica 13 European Journal of Combinatorics 13 Annals of Pure and Applied Logic 13 Acta Mathematica Sinica. English Series 12 International Journal of Theoretical Physics 12 Arkiv för Matematik 12 Annales de l’Institut Fourier 12 Integral Equations and Operator Theory 12 Forum Mathematicum 12 Indagationes Mathematicae. New Series 11 Beiträge zur Algebra und Geometrie 11 Theoretical Computer Science 11 Advances in Applied Mathematics 10 Acta Mathematica 10 Algebra Colloquium 10 Journal of the Australian Mathematical Society 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Order 9 Mediterranean Journal of Mathematics 8 Mathematische Nachrichten 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Journal of Geometry and Physics 7 The Mathematical Intelligencer 7 Journal of Differential Equations 7 Ergodic Theory and Dynamical Systems 7 Acta Mathematica Hungarica 7 Bulletin of the American Mathematical Society. New Series 7 Expositiones Mathematicae 7 Applied Categorical Structures 7 Asian-European Journal of Mathematics 7 Palestine Journal of Mathematics 6 Mathematics of Computation 6 Functional Analysis and its Applications 6 International Journal of Mathematics and Mathematical Sciences 6 Mathematica Slovaca 6 Nagoya Mathematical Journal 6 Studies in Applied Mathematics 6 Science in China. Series A 6 Journal de Théorie des Nombres de Bordeaux 6 Finite Fields and their Applications 6 Integral Transforms and Special Functions 6 Positivity 6 Arabian Journal of Mathematics 5 Letters in Mathematical Physics 5 Reports on Mathematical Physics 5 Journal of Combinatorial Theory. Series B ...and 283 more Serials all top 5 Cited in 59 Fields 1,137 Commutative algebra (13-XX) 1,073 Associative rings and algebras (16-XX) 452 Group theory and generalizations (20-XX) 434 Functional analysis (46-XX) 308 Field theory and polynomials (12-XX) 290 Nonassociative rings and algebras (17-XX) 241 Linear and multilinear algebra; matrix theory (15-XX) 240 Number theory (11-XX) 217 Operator theory (47-XX) 189 Algebraic geometry (14-XX) 186 Mathematical logic and foundations (03-XX) 175 Order, lattices, ordered algebraic structures (06-XX) 168 Combinatorics (05-XX) 147 Category theory; homological algebra (18-XX) 129 Topological groups, Lie groups (22-XX) 93 General topology (54-XX) 74 Ordinary differential equations (34-XX) 70 Quantum theory (81-XX) 53 Computer science (68-XX) 51 Dynamical systems and ergodic theory (37-XX) 44 Abstract harmonic analysis (43-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Algebraic topology (55-XX) 28 Manifolds and cell complexes (57-XX) 27 \(K\)-theory (19-XX) 27 Systems theory; control (93-XX) 25 General algebraic systems (08-XX) 25 Several complex variables and analytic spaces (32-XX) 22 Probability theory and stochastic processes (60-XX) 21 Geometry (51-XX) 19 Partial differential equations (35-XX) 19 Differential geometry (53-XX) 18 Functions of a complex variable (30-XX) 18 Operations research, mathematical programming (90-XX) 15 History and biography (01-XX) 13 Measure and integration (28-XX) 13 Special functions (33-XX) 13 Information and communication theory, circuits (94-XX) 10 Real functions (26-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Numerical analysis (65-XX) 9 Difference and functional equations (39-XX) 9 Integral transforms, operational calculus (44-XX) 9 Relativity and gravitational theory (83-XX) 8 Approximations and expansions (41-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Statistics (62-XX) 8 Mechanics of particles and systems (70-XX) 7 General and overarching topics; collections (00-XX) 6 Convex and discrete geometry (52-XX) 6 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Mathematics education (97-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-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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