Topic · Rings, Modules, and Algebras
Most cited papers in Rings, Modules, and Algebras
What are the most cited papers in Rings, Modules, and Algebras?
The most cited paper in Rings, Modules, and Algebras is "Rings of Continuous Functions." (Edgar R. Lorch, Leonard Gillman, Meyer Jerison, 1961), with 2,342 citations. Next come "On Ideal Lattices and Learning with Errors over Rings" (1,835) and "The Zero-Divisor Graph of a Commutative Ring" (1,350).
Showing 50 of 100 papers. Every paper with more than 243 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Rings of Continuous Functions. Edgar R. Lorch, Leonard Gillman, Meyer Jerison · American Mathematical Monthly | May 1961 | 2,342 |
| 2 | On Ideal Lattices and Learning with Errors over Rings Vadim Lyubashevsky, Chris Peikert, Oded Regev · Lecture notes in computer science | 2010 | 1,835 |
| 3 | The Zero-Divisor Graph of a Commutative Ring David F. Anderson, Philip S. Livingston · Journal of Algebra | Jul 1999 | 1,350 |
| 4 | Coloring of commutative rings István Beck · Journal of Algebra | Jul 1988 | 1,234 |
| 5 | The diamond lemma for ring theory George M. Bergman · Advances in Mathematics | Feb 1978 | 1,174 |
| 6 | Finitistic dimension and a homological generalization of semi-primary rings Hyman E. Bass · Transactions of the American Mathematical Society | 1960 | 961 |
| 7 | On the ubiquity of Gorenstein rings Hyman E. Bass · Mathematische Zeitschrift | 1963 | 896 |
| 8 | Free subgroups in linear groups Jacques Tits · Journal of Algebra | Feb 1972 | 883 |
| 9 | Prime rings satisfying a generalized polynomial identity Wallace S. Martindale · Journal of Algebra | Aug 1969 | 785 |
| 10 | Applications of contravariantly finite subcategories Maurice Auslander, Idun Reiten · Advances in Mathematics | Mar 1991 | 689 |
| 11 | Projective modules over polynomial rings Daniel G. Quillen · Inventiones mathematicae | Dec 1976 | 643 |
| 12 | Graded algebras of global dimension 3 Michael Artin, William F. Schelter · Advances in Mathematics | Nov 1987 | 585 |
| 13 | Topics In Ring Theory I. N. Herstein | 2010 | 541 |
| 14 | Generalized Metric Spaces Gary F. Gruenhage · Elsevier eBooks | 1984 | 490 |
| 15 | Semi-abelian categories George Janelidze, L. Márki, Walter Tholen · Journal of Pure and Applied Algebra | Mar 2002 | 485 |
| 16 | Presentations of faithful d.g. near-rings J. D. P. Meldrum · Proceedings of the Edinburgh Mathematical Society | Feb 1980 | 481 |
| 17 | Orthomodular Lattices Günter Bruns · North-Holland mathematics studies | 1984 | 479 |
| 18 | The Integers and Topology Eric K. van Douwen · Elsevier eBooks | 1984 | 477 |
| 19 | On the classification of inductive limits of sequences of semisimple finite-dimensional algebras George A. Elliott · Journal of Algebra | 1976 | 469 |
| 20 | Representation theory of artin algebras iii almost split sequences Maurice Auslander, Idun Reiten · Communications in Algebra | 1975 | 462 |
| 21 | Representation Theory of Artin Algebras II Maurice Auslander · Communications in Algebra | 1974 | 449 |
| 22 | Injective and flat covers, envelopes and resolvents Edgar E. Enochs · Israel Journal of Mathematics | Sep 1981 | 446 |
| 23 | Internal cohen extensions Donald A. Martin, R. M. Solovay · Annals of Mathematical Logic | Oct 1970 | 444 |
| 24 | Determinants of block matrices John R. Silvester · The Mathematical Gazette | Nov 2000 | 429 |
| 25 | New Topologies from Old via Ideals Dragan S. Jankovic, T. R. Hamlet · American Mathematical Monthly | Apr 1990 | 426 |
| 26 | Combinatorial Cardinal Characteristics of the Continuum Andreas R. Blass | 9 Dec 2009 | 418 |
| 27 | SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS A. J. W. Hilton, E. C. Milner · The Quarterly Journal of Mathematics | 1967 | 414 |
| 28 | Centralizing Mappings and Derivations in Prime Rings Matej Brešar · Journal of Algebra | Apr 1993 | 412 |
| 29 | Topological Vector Spaces Taqdir Husain | 1965 | 411 |
| 30 | Almost split sequences in subcategories Maurice Auslander, Sverre O. Smalø · Journal of Algebra | Apr 1981 | 410 |
| 31 | Jordan derivations of prime rings I. N. Herstein · Proceedings of the American Mathematical Society | Dec 1957 | 406 |
| 32 | On rings of continuous functions Jun-iti Nagata · Lecture notes in mathematics | 1977 | 404 |
| 33 | A note on extensions of Baer and P. P. -rings Efraim P. Armendariz · Journal of the Australian Mathematical Society | Dec 1974 | 393 |
| 34 | A criterion for detectingm-regularity David Bayer, Michael Stillman · Inventiones mathematicae | Feb 1987 | 393 |
| 35 | The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences Claus Michael Ringel · Mathematische Zeitschrift | Dec 1991 | 392 |
| 36 | Homology of Noetherian rings and local rings John Tate · Illinois Journal of Mathematics | Mar 1957 | 392 |
| 37 | On graded rings, I Shirô Gotô, Kei-ichi Watanabe · Journal of the Mathematical Society of Japan | Apr 1978 | 387 |
| 38 | Braces, radical rings, and the quantum Yang–Baxter equation Wolfgang Rump · Journal of Algebra | Jun 2006 | 386 |
| 39 | Adjoint functors and triples Samuel Eilenberg, John C. Moore · Illinois Journal of Mathematics | Sep 1965 | 385 |
| 40 | Coherent Rings and Fp -Injective Modules Bo T. Stenström · Journal of the London Mathematical Society | Apr 1970 | 384 |
| 41 | Beck′s Coloring of a Commutative Ring D. D. Anderson, Muhammad Moazzam Naseer · Journal of Algebra | Aug 1993 | 384 |
| 42 | Some Cesàro-Type Summability Spaces Allen R. Freedman, John J. Sember, Marc Raphael · Proceedings of the London Mathematical Society | Nov 1978 | 377 |
| 43 | RINGS OF CONTINUOUS FUNCTIONS* Leonard Gillman · Transactions of the New York Academy of Sciences | Nov 1964 | 372 |
| 44 | Stable isomorphism and strong Morita equivalence ofC∗-algebras Lawrence G. Brown, Philip Green, Marc A. Rieffel · Pacific Journal of Mathematics | Aug 1977 | 372 |
| 45 | Generalized derivations in rings* Bojan Hvala · Communications in Algebra | 1998 | 358 |
| 46 | Nonstable K-theory for Graph Algebras Pere Ara, M. A. Moreno, Enrique Pardo · Algebras and Representation Theory | 25 Nov 2006 | 358 |
| 47 | Idealization of a Module D. D. Anderson, M. Winders · Journal of Commutative Algebra | 15 Dec 2008 | 356 |
| 48 | Multiplication modules Zeinab Abd El-Bast, Patrick P. Smith · Communications in Algebra | 1988 | 355 |
| 49 | Model theory of modules Martin Ziegler · Annals of Pure and Applied Logic | Apr 1984 | 347 |
| 50 | Ideals defined by matrices and a certain complex associated with them J. A. Eagon, Douglas Geoffrey Northcott · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 11 Sep 1962 | 346 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.