Irving Kaplansky

9.3k citations
80 papers · 4.0k indexed · 2 hit papers · h-index 27

Impact in

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

Irving Kaplansky

78 papers receiving 2.9k citations

Hit Papers

An introduction to differential algebra 1957 · 396 citations
3961954202619782002200400600

Peers

Irving Kaplansky
Comparison fields: 5 of 84
  • Algebra and Number Theory 2.5k
  • Geometry and Topology 1.7k
  • Mathematical Physics 1.4k
  • Discrete Mathematics and Combinatorics 336
  • Computational Theory and Mathematics 1.0k
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Citations per field
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Citations per year

Countries citing papers authored by Irving Kaplansky

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network

The 15 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.

Border = papers with Irving Kaplansky Line = papers co-authored together Irving Kaplansky links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 20035
2 19973
3 19954
4 19953
5 19958
6 19958
7 19944
8 19804
9 19743
10 1970102
11 196910
12
Notes on ring theory
19656
13 19625
14 19532
15 195318
16 19521
17 19526
18 19524
19 195147
20 195187

About Irving Kaplansky

Irving Kaplansky is a scholar working on Algebra and Number Theory, Geometry and Topology, Discrete Mathematics and Combinatorics, Mathematical Physics and Computational Theory and Mathematics, having authored 80 papers that have together received 4.0k 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), Mathematics and Applications (6 papers), Commutative Algebra and Its Applications (6 papers) and Advanced Algebra and Logic (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 (336 citations) and Computational Theory and Mathematics (1.0k citations). Irving Kaplansky has collaborated with scholars based in United States, Netherlands and Australia. Frequent co-authors include P. Freund, Ismael Cohen, K. D. Hoffman, R. Fortet, D. A. Darling, Edwin Hewitt, George M. Bergman, Brendan D. McKay, J.J. Seidel and P. G. Hodge. Their work appears in journals such as Proceedings of the American Mathematical Society, Transactions of the American Mathematical Society, Journal of Algebra, Pacific Journal of Mathematics and Annals of Mathematics.

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.

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