Murray R. Bremner

847 citations
53 papers · 370 indexed · h-index 12
Topics
Advanced Topics in Algebra (41 papers)Algebraic structures and combinatorial models (31 papers)Rings, Modules, and Algebras (8 papers)

In The Last Decade

Murray R. Bremner

47 papers receiving 349 citations

Peers

Murray R. Bremner
Comparison fields: 5 of 34
  • Algebra and Number Theory 266
  • Geometry and Topology 254
  • Mathematical Physics 123
  • Statistical and Nonlinear Physics 71
  • Computational Theory and Mathematics 43
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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

20 of 20 papers shown
#WorkIndexed citations
1 0
2 3
3 9
4 5
5 9
6
Lattice Basis Reduction: An Introduction to the LLL Algorithm and Its Applications
39
7 17
8 1
9 9
10 3
11 8
12 14
13 6
14
Dimension formulas for the free nonassociative algebra
0
15 13
16 19
17 12
18 7
19 18
20
On tensor products of modules over the Virasoro algebra
1

About Murray R. Bremner

Murray R. Bremner is a scholar working on Algebra and Number Theory, Computational Mathematics and Geometry and Topology, having authored 53 papers that have together received 370 indexed citations. Recurring topics across this work include Advanced Topics in Algebra (41 papers), Algebraic structures and combinatorial models (31 papers) and Rings, Modules, and Algebras (8 papers). The work is most often cited by research in Algebra and Number Theory (266 citations), Computational Mathematics (19 citations) and Geometry and Topology (254 citations). Murray R. Bremner has collaborated with scholars based in Canada, Brazil and United States. Frequent co-authors include Vladimir Dotsenko, Irvin Roy Hentzel, Miķelis Bickis, Michael Meldgaard, Carl Erik Olsen, Jesper Wengel and Michael Kinyon. Their work appears in journals such as Mathematics of Computation, Journal of Mathematical Physics and Computers & Mathematics with Applications.

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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