Robert B. Warfield

3.8k total citations · 2 hit papers
56 papers, 2.3k citations indexed

About

Robert B. Warfield is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Robert B. Warfield has authored 56 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Algebra and Number Theory, 27 papers in Geometry and Topology and 14 papers in Mathematical Physics. Recurrent topics in Robert B. Warfield's work include Rings, Modules, and Algebras (34 papers), Advanced Topics in Algebra (19 papers) and Algebraic structures and combinatorial models (19 papers). Robert B. Warfield is often cited by papers focused on Rings, Modules, and Algebras (34 papers), Advanced Topics in Algebra (19 papers) and Algebraic structures and combinatorial models (19 papers). Robert B. Warfield collaborates with scholars based in United States, United Kingdom and Israel. Robert B. Warfield's co-authors include K. R. Goodearl, Lance W. Small, J. T. Stafford, E. J. McShane, Kenneth Goodearl, Kenneth A. Brown, Carol L. Walker, Martin Huber, T. H. Lenagan and Lawrence S. Levy and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

Robert B. Warfield

55 papers receiving 1.8k citations

Hit Papers

An Introduction to Noncommutativ... 1969 2026 1988 2007 2004 1969 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. An Introduction to Noncommutative Noetherian Rings
    2004 391 citations K. R. Goodearl, Robert B. Warfield profile →
  2. Purity and algebraic compactness for modules
    1969 286 citations Robert B. Warfield profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Robert B. Warfield United States 25 1.9k 1.5k 426 341 189 56 2.3k
S. A. Amitsur Israel 24 1.3k 0.7× 1.0k 0.7× 337 0.8× 382 1.1× 292 1.5× 74 1.8k
Kent R. Fuller United States 20 3.2k 1.7× 2.6k 1.7× 589 1.4× 461 1.4× 145 0.8× 75 3.6k
Melvin Hochster United States 27 2.4k 1.3× 2.4k 1.7× 479 1.1× 936 2.7× 241 1.3× 75 3.0k
David A. Buchsbaum United States 23 1.5k 0.8× 1.6k 1.1× 605 1.4× 607 1.8× 282 1.5× 51 2.1k
J. C. Robson United Kingdom 17 1.6k 0.8× 1.3k 0.9× 326 0.8× 210 0.6× 87 0.5× 52 1.8k
David Handelman Canada 20 922 0.5× 602 0.4× 680 1.6× 455 1.3× 81 0.4× 84 1.5k
D. G. Northcott United Kingdom 18 1.3k 0.7× 1.1k 0.7× 324 0.8× 681 2.0× 86 0.5× 71 1.8k
M. F. Atiyah 2 778 0.4× 718 0.5× 251 0.6× 269 0.8× 126 0.7× 2 1.1k
Louis Rowen Israel 20 976 0.5× 838 0.6× 234 0.5× 345 1.0× 162 0.9× 119 1.2k
K. R. Goodearl United States 28 3.2k 1.7× 2.4k 1.6× 1.1k 2.6× 529 1.6× 246 1.3× 115 3.6k

Countries citing papers authored by Robert B. Warfield

Since Specialization
Citations

This map shows the geographic impact of Robert B. Warfield'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 Robert B. Warfield with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Robert B. Warfield more than expected).

Fields of papers citing papers by Robert B. Warfield

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robert B. Warfield. 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 Robert B. Warfield. The network helps show where Robert B. Warfield may publish in the future.

Co-authorship network of co-authors of Robert B. Warfield

This figure shows the co-authorship network connecting the top 25 collaborators of Robert B. Warfield. A scholar is included among the top collaborators of Robert B. Warfield based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Robert B. Warfield. Robert B. Warfield is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Zukerman, Moshe, et al.. (2001). Bridging Theory and Practice in Network Design Using Web-based Simulation. 40. 2 indexed citations
2.
Warfield, Robert B.. (1992). Noetherian ring extensions with trace conditions. Transactions of the American Mathematical Society. 331(1). 449–463. 4 indexed citations
3.
Lenagan, T. H. & Robert B. Warfield. (1991). Affiliated series and extensions of modules. Journal of Algebra. 142(1). 164–187. 10 indexed citations
4.
Warfield, Robert B., et al.. (1988). Symmetry and localization in Noetherian prime PI rings. Journal of Algebra. 118(2). 322–335. 18 indexed citations
5.
Brown, Kenneth A. & Robert B. Warfield. (1988). The influence of ideal structure on representation theory. Journal of Algebra. 116(2). 294–315. 19 indexed citations
6.
Warfield, Robert B.. (1987). Book Review: Localization in Noetherian rings. Bulletin of the American Mathematical Society. 17(2). 396–401. 2 indexed citations
7.
Brown, Kenneth A. & Robert B. Warfield. (1984). Krull and global dimensions of fully bounded Noetherian rings. Proceedings of the American Mathematical Society. 92(2). 169–174. 10 indexed citations
8.
Small, Lance W. & Robert B. Warfield. (1984). Prime affine algebras of Gelfand—Kirillov dimension one. Journal of Algebra. 91(2). 386–389. 45 indexed citations
9.
Warfield, Robert B.. (1981). Quotient rings and localization for Noetherian rings. Journal of Algebra. 72(1). 166–182. 6 indexed citations
10.
Goodearl, K. R. & Robert B. Warfield. (1981). State spaces of K0 of noetherian rings. Journal of Algebra. 71(2). 322–378. 7 indexed citations
11.
Goodearl, K. R. & Robert B. Warfield. (1979). Simple modules over Hereditary Noetherian Prime rings. Journal of Algebra. 57(1). 82–100. 27 indexed citations
12.
Warfield, Robert B. & Martin Huber. (1979). On the values of the functorlim. Archiv der Mathematik. 33(1). 430–436. 3 indexed citations
13.
Walker, Carol L. & Robert B. Warfield. (1976). Unique decomposition and isomorphic refinement theorems in additive categories. Journal of Pure and Applied Algebra. 7(3). 347–359. 17 indexed citations
14.
Warfield, Robert B.. (1976). Classification theory of abelian groups. I. Balanced projectives. Transactions of the American Mathematical Society. 222(0). 33–63. 24 indexed citations
15.
Warfield, Robert B.. (1975). Genus and cancellation for groups with finite commutator subgroup. Journal of Pure and Applied Algebra. 6(2). 125–132. 30 indexed citations
16.
Warfield, Robert B.. (1975). Serial rings and finitely presented modules. Journal of Algebra. 37(2). 187–222. 115 indexed citations
17.
Warfield, Robert B.. (1972). Exchange rings and decompositions of modules. Mathematische Annalen. 199(1). 31–36. 169 indexed citations
18.
Warfield, Robert B.. (1972). Rings whose modules have nice decompositions. Mathematische Zeitschrift. 125(2). 187–192. 20 indexed citations
19.
Warfield, Robert B.. (1970). Decomposability of finitely presented modules. Proceedings of the American Mathematical Society. 25(1). 167–172. 65 indexed citations
20.
Warfield, Robert B.. (1969). A Krull-Schmidt theorem for infinite sums of modules. Proceedings of the American Mathematical Society. 22(2). 460–465. 101 indexed citations

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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