Ronald S. Irving

676 total citations
36 papers, 422 citations indexed

About

Ronald S. Irving is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Ronald S. Irving has authored 36 papers receiving a total of 422 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Algebra and Number Theory, 17 papers in Geometry and Topology and 8 papers in Computational Theory and Mathematics. Recurrent topics in Ronald S. Irving's work include Advanced Topics in Algebra (23 papers), Rings, Modules, and Algebras (22 papers) and Algebraic structures and combinatorial models (16 papers). Ronald S. Irving is often cited by papers focused on Advanced Topics in Algebra (23 papers), Rings, Modules, and Algebras (22 papers) and Algebraic structures and combinatorial models (16 papers). Ronald S. Irving collaborates with scholars based in United States. Ronald S. Irving's co-authors include Brad Shelton, David H. Collingwood, David Collingwood, Lance W. Small and Robert B. Warfield and has published in prestigious journals such as Transactions of the American Mathematical Society, Journal of Functional Analysis and Pacific Journal of Mathematics.

In The Last Decade

Ronald S. Irving

33 papers receiving 336 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Ronald S. Irving United States	12	354	314	209	73	66	36	422
Brad Shelton United States	12	284 0.8×	226 0.7×	182 0.9×	46 0.6×	42 0.6×	25	334
Frank D. Grosshans United States	8	246 0.7×	119 0.4×	201 1.0×	86 1.2×	28 0.4×	27	308
Thierry Levasseur France	13	476 1.3×	401 1.3×	285 1.4×	44 0.6×	65 1.0×	20	501
L. Grünenfelder Canada	8	178 0.5×	195 0.6×	88 0.4×	55 0.8×	45 0.7×	34	240
D. J. Britten Canada	10	225 0.6×	239 0.8×	123 0.6×	30 0.4×	55 0.8×	31	270
Hideyasu Sumihiro Japan	5	419 1.2×	122 0.4×	299 1.4×	69 0.9×	23 0.3×	10	442
Tadeusz Józefiak Poland	10	181 0.5×	128 0.4×	92 0.4×	106 1.5×	25 0.4×	19	242
Piotr Dowbor Poland	8	305 0.9×	248 0.8×	146 0.7×	32 0.4×	65 1.0×	29	321
Kaan Akın United States	8	284 0.8×	195 0.6×	188 0.9×	134 1.8×	20 0.3×	13	350
D. Luna France	9	365 1.0×	123 0.4×	360 1.7×	70 1.0×	24 0.4×	12	429

Countries citing papers authored by Ronald S. Irving

Since Specialization

Citations

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

Fields of papers citing papers by Ronald S. Irving

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ronald S. Irving. 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 Ronald S. Irving. The network helps show where Ronald S. Irving may publish in the future.

Co-authorship network of co-authors of Ronald S. Irving

This figure shows the co-authorship network connecting the top 25 collaborators of Ronald S. Irving. A scholar is included among the top collaborators of Ronald S. Irving 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 Ronald S. Irving. Ronald S. Irving is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Irving, Ronald S.. (2000). Primitive noetherian algebras with big centers. Proceedings of the American Mathematical Society. 129(6). 1587–1593.

Irving, Ronald S.. (1993). Shuffled Verma Modules and Principal Series Modules over Complex Semisimple Lie Algebras. Journal of the London Mathematical Society. s2-48(2). 263–277. 10 indexed citations

Irving, Ronald S.. (1990). BGG algebras and the BGG reciprocity principle. Journal of Algebra. 135(2). 363–380. 32 indexed citations

Irving, Ronald S.. (1990). Singular blocks of the categoryO. Mathematische Zeitschrift. 204(1). 209–224. 10 indexed citations

Collingwood, David H. & Ronald S. Irving. (1989). A decomposition theorem for certain self-dual modules in the category 𝒪. Duke Mathematical Journal. 58(1). 25 indexed citations

Irving, Ronald S. & Brad Shelton. (1988). Loewy series and simple projective modules in the category 𝒪_S. Pacific Journal of Mathematics. 132(2). 319–342. 28 indexed citations

Irving, Ronald S.. (1988). The socle filtration of a Verma module. Annales Scientifiques de l École Normale Supérieure. 21(1). 47–65. 41 indexed citations

Irving, Ronald S. & Robert B. Warfield. (1987). Simple Modules and Primitive Algebras with Arbitrary Gelfand-Kirillov Dimension. Journal of the London Mathematical Society. s2-36(2). 219–228. 2 indexed citations

Irving, Ronald S. & Lance W. Small. (1986). The embeddability of affine PI-algebras in rings of matrices. Journal of Algebra. 103(2). 708–716. 2 indexed citations

10.

Irving, Ronald S.. (1986). The structure of certain highest weight modules forSL3. Journal of Algebra. 99(2). 438–457. 7 indexed citations

11.

Irving, Ronald S.. (1985). ALGEBRAS WITH POLYNOMIALLY BOUNDED GROWTH AND ENDOMORPHIS1M RINGS OF SIMPLE MODULES. The Quarterly Journal of Mathematics. 36(4). 435–450. 2 indexed citations

12.

Irving, Ronald S.. (1985). Projective Modules in the Category S : Self-Duality. Transactions of the American Mathematical Society. 291(2). 701–701. 11 indexed citations

13.

Irving, Ronald S.. (1984). Primitive Ideals of Enveloping Algebras Over Commutative Rings. American Journal of Mathematics. 106(1). 113–113. 2 indexed citations

14.

Irving, Ronald S.. (1983). Affine PI-algebras not embeddable in matrix rings. Journal of Algebra. 82(1). 94–101. 9 indexed citations

15.

Irving, Ronald S.. (1981). Finite-dimensional, irreducible representations of some crossed products and group rings. Journal of Pure and Applied Algebra. 20(3). 267–286.

16.

Irving, Ronald S.. (1980). Irreducible ∗-representations of some group rings and associated Banach ∗-algebras. Journal of Functional Analysis. 39(2). 149–161. 1 indexed citations

17.

Irving, Ronald S.. (1979). Prime ideals of Ore extensions over commutative rings. Journal of Algebra. 56(2). 315–342. 29 indexed citations

18.

Irving, Ronald S.. (1979). Some primitive group rings. Journal of Algebra. 56(1). 274–281. 5 indexed citations

19.

Irving, Ronald S.. (1979). Prime ideals of Ore extensions over commutative rings, II. Journal of Algebra. 58(2). 399–423. 32 indexed citations

20.

Irving, Ronald S.. (1978). Rings with subexponential growth and irreducible representations. Proceedings of the American Mathematical Society. 72(3). 445–450. 1 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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