Murray R. Bremner

847 total citations
53 papers, 370 citations indexed

About

Murray R. Bremner is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Murray R. Bremner has authored 53 papers receiving a total of 370 indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Algebra and Number Theory, 33 papers in Geometry and Topology and 12 papers in Mathematical Physics. Recurrent topics in Murray R. Bremner's work include Advanced Topics in Algebra (41 papers), Algebraic structures and combinatorial models (31 papers) and Rings, Modules, and Algebras (8 papers). Murray R. Bremner is often cited by papers focused on Advanced Topics in Algebra (41 papers), Algebraic structures and combinatorial models (31 papers) and Rings, Modules, and Algebras (8 papers). Murray R. Bremner collaborates with scholars based in Canada, Brazil and United States. Murray R. Bremner's co-authors include Vladimir Dotsenko, Irvin Roy Hentzel, Miķelis Bickis, Michael Meldgaard, Carl Erik Olsen, Jesper Wengel and Michael Kinyon and has published in prestigious journals such as Mathematics of Computation, Journal of Mathematical Physics and Computers & Mathematics with Applications.

In The Last Decade

Murray R. Bremner

47 papers receiving 349 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Murray R. Bremner Canada	12	266	254	123	71	43	53	370
Liangyun Chen China	10	284 1.1×	282 1.1×	88 0.7×	111 1.6×	28 0.7×	105	411
Consuelo Martı́nez Spain	9	296 1.1×	298 1.2×	57 0.5×	115 1.6×	57 1.3×	61	395
Pieter Moree Germany	11	362 1.4×	250 1.0×	108 0.9×	41 0.6×	61 1.4×	87	500
Α. I. Kostrikin Russia	9	266 1.0×	285 1.1×	165 1.3×	101 1.4×	36 0.8×	24	488
Ákos Pintér Hungary	12	324 1.2×	206 0.8×	123 1.0×	99 1.4×	56 1.3×	64	529
Hacène Belbachir Algeria	10	172 0.6×	64 0.3×	72 0.6×	124 1.7×	49 1.1×	104	357
Jason P. Bell Canada	12	236 0.9×	318 1.3×	214 1.7×	37 0.5×	122 2.8×	103	509
José Gómez-Torrecillas Spain	14	494 1.9×	459 1.8×	241 2.0×	32 0.5×	85 2.0×	71	559
Michael A. Bennett Canada	14	315 1.2×	422 1.7×	179 1.5×	65 0.9×	125 2.9×	60	549

Countries citing papers authored by Murray R. Bremner

Since Specialization

Citations

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

Fields of papers citing papers by Murray R. Bremner

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Murray R. Bremner

This figure shows the co-authorship network connecting the top 25 collaborators of Murray R. Bremner. A scholar is included among the top collaborators of Murray R. Bremner 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 Murray R. Bremner. Murray R. Bremner 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

Bremner, Murray R., et al.. (2023). Higher Polynomial Identities for Mutations of Associative Algebras. Results in Mathematics. 78(6). 237–237.

Bremner, Murray R., et al.. (2013). On Kruskal’s theorem that every 3 × 3 × 3 array has rank at most 5. Linear Algebra and its Applications. 439(2). 401–421. 3 indexed citations

Bremner, Murray R., et al.. (2012). Jordan triple disystems. Computers & Mathematics with Applications. 63(6). 1039–1055. 9 indexed citations

Bremner, Murray R., et al.. (2012). Cayley’s hyperdeterminant: A combinatorial approach via representation theory. Linear Algebra and its Applications. 437(1). 94–112. 5 indexed citations

Bremner, Murray R., et al.. (2012). Canonical forms of 2 × 2 × 2 and 2 × 2 × 2 × 2 arrays over 𝔽₂and 𝔽₃. Linear and Multilinear Algebra. 61(7). 986–997. 9 indexed citations

Bremner, Murray R.. (2011). Lattice Basis Reduction: An Introduction to the LLL Algorithm and Its Applications. CERN Document Server (European Organization for Nuclear Research). 39 indexed citations

Bremner, Murray R.. (2011). Lattice Basis Reduction. 17 indexed citations

Bremner, Murray R., et al.. (2010). Alternating quaternary algebra structures on irreducible representations of sl2(C). Linear Algebra and its Applications. 433(8-10). 1686–1705. 1 indexed citations

Bremner, Murray R., et al.. (2009). Nonhomogeneous subalgebras of Lie and special Jordan superalgebras. Journal of Algebra. 322(6). 2000–2026. 9 indexed citations

10.

Bremner, Murray R., et al.. (2009). Enveloping Algebras of the Nilpotent Malcev Algebra of Dimension Five. Algebras and Representation Theory. 13(4). 407–425. 3 indexed citations

11.

Bremner, Murray R., et al.. (2008). An application of lattice basis reduction to polynomial identities for algebraic structures. Linear Algebra and its Applications. 430(2-3). 642–659. 8 indexed citations

12.

Bremner, Murray R., et al.. (2005). Ternary analogues of Lie and Malcev algebras. Linear Algebra and its Applications. 414(1). 1–18. 14 indexed citations

13.

Bremner, Murray R. & Irvin Roy Hentzel. (2004). Identities for algebras of matrices over the octonions. Journal of Algebra. 277(1). 73–95. 6 indexed citations

14.

Bremner, Murray R., et al.. (2004). Dimension formulas for the free nonassociative algebra. 6. 141–151.

15.

Bremner, Murray R. & Irvin Roy Hentzel. (2000). Identities for Generalized Lie and Jordan Products on Totally Associative Triple Systems. Journal of Algebra. 231(1). 387–405. 13 indexed citations

16.

Bremner, Murray R.. (1998). Identities for the Ternary Commutator. Journal of Algebra. 206(2). 615–623. 19 indexed citations

17.

Bremner, Murray R.. (1997). Varieties of Anticommutativen-ary Algebras. Journal of Algebra. 191(1). 76–88. 12 indexed citations

18.

Bremner, Murray R.. (1995). Four-Point Affine Lie Algebras. Proceedings of the American Mathematical Society. 123(7). 1981–1981. 7 indexed citations

19.

Bremner, Murray R.. (1994). Generalized Affine Kac-Moody Lie Algebras Over Localizations of the Polynomial Ring in One Variable. Canadian Mathematical Bulletin. 37(1). 21–28. 18 indexed citations

20.

Bremner, Murray R.. (1989). On tensor products of modules over the Virasoro algebra. UMI eBooks. 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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