Irving Kaplansky
Impact in
- Algebra and Number Theory top 0.1%
- Advanced Topics in Algebra
- Rings, Modules, and Algebras
- Commutative Algebra and Its Applications
- Geometry and Topology top 0.2%
- Algebraic structures and combinatorial models
Papers in
-
- Advanced Topics in Algebra 32
- Rings, Modules, and Algebras 21
- Commutative Algebra and Its Applications 6
-
- Algebraic Geometry and Number Theory 11
- Algebraic structures and combinatorial models 9
- Mathematics and Applications 6
- Co-authors
- P. Freund (1 shared paper)Ismael Cohen (1 shared paper)Alexander Schiemann (1 shared paper)D. A. Darling (1 shared paper)R. Fortet (2 shared papers)K. D. Hoffman (1 shared paper)Edwin Hewitt (2 shared papers)George M. Bergman (1 shared paper)
- Journals
- Proceedings of the American Mathematical Society (12 papers)Transactions of the American Mathematical Society (6 papers)Annals of Mathematics (4 papers)Pacific Journal of Mathematics (4 papers)Journal of Algebra (4 papers)
- Partner nations
- United StatesNetherlandsGermany
In The Last Decade
Irving Kaplansky
79 papers receiving 2.9k citations
Irving Kaplansky's Hit Papers
Peers
Comparison fields: 5 of 85
- Algebra and Number Theory 2.5k
- Geometry and Topology 1.7k
- Mathematical Physics 1.4k
- Discrete Mathematics and Combinatorics 340
- Computational Theory and Mathematics 1.0k
Countries citing papers authored by Irving Kaplansky
This map shows the geographic impact of Irving Kaplansky's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Irving Kaplansky with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Irving Kaplansky more than expected).
Fields of papers citing papers by Irving Kaplansky
This network shows the impact of papers produced by Irving Kaplansky. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Irving Kaplansky. The network helps show where Irving Kaplansky may publish in the future.
Co-authors
The 16 scholars most cited alongside Irving Kaplansky, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 81 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Infinite Abelian groups Hit paper breakdown → | 1954 | 640 |
| 2 | An introduction to differential algebra Hit paper breakdown → | 1957 | 398 |
| 3 | Rings of operators | 1956 | 261 |
| 4 | Fields and rings | 1969 | 226 |
| 5 | 1953 | 213 | |
| 6 | 1951 | 206 | |
| 7 | 1952 | 194 | |
| 8 | 1958 | 187 | |
| 9 | 1951 | 134 | |
| 10 | 1976 | 119 | |
| 11 | 1970 | 102 | |
| 12 | 1952 | 100 | |
| 13 | 1951 | 88 | |
| 14 | Lie algebras and locally compact groups | 1971 | 81 |
| 15 | 1951 | 71 | |
| 16 | 1952 | 62 | |
| 17 | 1955 | 57 | |
| 18 | 1971 | 48 | |
| 19 | 1982 | 48 | |
| 20 | 1951 | 47 |
About Irving Kaplansky
Irving Kaplansky is a scholar working on Algebra and Number Theory, Geometry and Topology, Computational Theory and Mathematics, Mathematical Physics and Discrete Mathematics and Combinatorics, having authored 81 papers that have together received 4.1k indexed citations. Recurring topics across this work include Advanced Topics in Algebra (32 papers), Rings, Modules, and Algebras (21 papers), Algebraic Geometry and Number Theory (11 papers), Algebraic structures and combinatorial models (9 papers), Matrix Theory and Algorithms (8 papers), Commutative Algebra and Its Applications (6 papers), Mathematics and Applications (6 papers) and Finite Group Theory Research (5 papers). The work is most often cited by research in Algebra and Number Theory (2.5k citations), Geometry and Topology (1.7k citations), Mathematical Physics (1.4k citations), Discrete Mathematics and Combinatorics (340 citations) and Computational Theory and Mathematics (1.0k citations). Irving Kaplansky has collaborated with scholars based in United States, Netherlands and Germany. Frequent co-authors include P. Freund, Ismael Cohen, Alexander Schiemann, D. A. Darling, R. Fortet, K. D. Hoffman, Edwin Hewitt, George M. Bergman, J.J. Seidel and Brendan D. McKay. Their work appears in journals such as Proceedings of the American Mathematical Society, Transactions of the American Mathematical Society, Annals of Mathematics, Pacific Journal of Mathematics and Journal of Algebra.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.