R. Raphael

505 total citations
53 papers, 331 citations indexed

About

R. Raphael is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, R. Raphael has authored 53 papers receiving a total of 331 indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Algebra and Number Theory, 35 papers in Geometry and Topology and 14 papers in Mathematical Physics. Recurrent topics in R. Raphael's work include Rings, Modules, and Algebras (50 papers), Advanced Topics in Algebra (25 papers) and Advanced Topology and Set Theory (19 papers). R. Raphael is often cited by papers focused on Rings, Modules, and Algebras (50 papers), Advanced Topics in Algebra (25 papers) and Advanced Topology and Set Theory (19 papers). R. Raphael collaborates with scholars based in Canada, United States and Israel. R. Raphael's co-authors include W. D. Burgess, R. Grant Woods, K.C. O’Meara, Michael Barr, Pere Ara, K. R. Goodearl, J. Lambek, Melvin Henriksen, W. Stephenson and К. И. Бейдар and has published in prestigious journals such as Pacific Journal of Mathematics, Proceedings of the American Mathematical Society and Journal of Algebra.

In The Last Decade

R. Raphael

39 papers receiving 211 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
R. Raphael Canada 11 264 195 96 67 27 53 331
W. D. Burgess Canada 12 319 1.2× 235 1.2× 87 0.9× 47 0.7× 25 0.9× 44 368
Stuart A. Steinberg United States 9 190 0.7× 106 0.5× 116 1.2× 30 0.4× 28 1.0× 25 258
K.C. O’Meara New Zealand 11 397 1.5× 247 1.3× 112 1.2× 79 1.2× 8 0.3× 36 441
Jutta Hausen United States 10 229 0.9× 128 0.7× 79 0.8× 55 0.8× 6 0.2× 41 299
John Ginsburg Canada 9 142 0.5× 221 1.1× 139 1.4× 134 2.0× 37 1.4× 36 321
Kwangil Koh United States 10 422 1.6× 260 1.3× 83 0.9× 66 1.0× 14 0.5× 56 494
Patrick N. Stewart Canada 9 266 1.0× 119 0.6× 126 1.3× 30 0.4× 74 2.7× 43 377
Miguel Ferrero Brazil 13 472 1.8× 358 1.8× 47 0.5× 148 2.2× 18 0.7× 50 506
Bohuslav Balcar Czechia 11 148 0.6× 321 1.6× 203 2.1× 179 2.7× 24 0.9× 40 396
Ireneusz Recław Poland 9 112 0.4× 207 1.1× 85 0.9× 124 1.9× 54 2.0× 26 265

Countries citing papers authored by R. Raphael

Since Specialization
Citations

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

Fields of papers citing papers by R. Raphael

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R. Raphael. 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 R. Raphael. The network helps show where R. Raphael may publish in the future.

Co-authorship network of co-authors of R. Raphael

This figure shows the co-authorship network connecting the top 25 collaborators of R. Raphael. A scholar is included among the top collaborators of R. Raphael 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 R. Raphael. R. Raphael 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.
Burgess, W. D. & R. Raphael. (2020). Tychonoff spaces and a ring theoretic order on C(X). Topology and its Applications. 279. 107250–107250. 1 indexed citations
2.
Hager, Anthony W. & R. Raphael. (2015). The countable lifting property for Riesz space surjections. Indagationes Mathematicae. 27(1). 75–84.
3.
McGovern, Warren Wm. & R. Raphael. (2015). Considering semi-clean rings of continuous functions. Topology and its Applications. 190. 99–108. 3 indexed citations
4.
Burgess, W. D. & R. Raphael. (2013). On Embedding Rings in Clean Rings. Communications in Algebra. 41(2). 552–564. 14 indexed citations
5.
Barr, Michael, et al.. (2011). Countable meets in coherent spaceswith applications to thecyclic spectrum. Theory and applications of categories. 25. 508–532.
6.
Henriksen, Melvin, R. Raphael, & R. Grant Woods. (2007). SP-Scattered Spaces: A New Generalization of Scattered Spaces. Commentationes Mathematicae Universitatis Carolinae. 48(3). 487–505. 5 indexed citations
7.
Burgess, W. D. & R. Raphael. (2006). Compactifications, C(X) and ring epimorphisms. Theory and applications of categories. 16. 558–584.
8.
Raphael, R. & R. Grant Woods. (2006). On RG-spaces and the regularity degree. Applied General Topology. 7(1). 73–73. 1 indexed citations
9.
Barr, Michael, R. Raphael, & R. Grant Woods. (2005). On CR-epic Embeddings and Absolute CR-epic Spaces. Canadian Journal of Mathematics. 1121–1138. 4 indexed citations
10.
Hrušák, Michael, R. Raphael, & R. Grant Woods. (2005). On a class of pseudocompact spaces derived from ring epimorphisms. Topology and its Applications. 153(4). 541–556. 2 indexed citations
11.
Raphael, R. & R. Grant Woods. (2000). The epimorphic hull of C(X). Topology and its Applications. 105(1). 65–88. 11 indexed citations
12.
Raphael, R.. (1989). Algebraic closures for some non—commutative rings. Communications in Algebra. 17(7). 1687–1708. 3 indexed citations
13.
Raphael, R., et al.. (1988). Fissible andp-fissible rings. Archiv der Mathematik. 50(1). 25–28. 1 indexed citations
14.
Raphael, R., et al.. (1987). Some aspects of relative injectivity. Bulletin of the Australian Mathematical Society. 36(1). 161–170. 1 indexed citations
15.
Raphael, R., et al.. (1984). On epimorphism-final rings. Communications in Algebra. 12(15). 1871–1876.
16.
Burgess, W. D. & R. Raphael. (1981). Order completions of semiprime rings. Czechoslovak Mathematical Journal. 31(1). 91–97. 2 indexed citations
17.
Raphael, R.. (1979). Fully idempotent factorization rings. Communications in Algebra. 7(6). 547–563. 5 indexed citations
18.
Raphael, R.. (1975). Some Remarks on Regular and Strongly Regular Rings. Canadian Mathematical Bulletin. 17(5). 709–712. 11 indexed citations
19.
Raphael, R.. (1974). Rings which are generated by their units. Journal of Algebra. 28(1). 199–205. 34 indexed citations
20.
Raphael, R.. (1972). Some homological results on certain finite ring extensions. Proceedings of the American Mathematical Society. 36(2). 331–331. 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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