Nonunital decompositions of the matrix algebra of order three Full article
| Journal |
Hiroshima Mathematical Journal
ISSN: 0018-2079 |
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| Output data | Year: 2024, Volume: 54, Number: 3, Pages: 291-299 Pages count : 9 DOI: 10.32917/h2023008 | ||
| Tags | Decomposition of algebra, matrix algebra, sum of rings | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
All decompositions of M3ðCÞ into a direct vector-space sum of two subalgebras such that none of the subalgebras contains the identity matrix are classified. Thus, the classification of all decompositions of M3ðCÞ into a direct vector-space sum of two subalgebras as well as description of Rota–Baxter operators of nonzero weight on M3ðCÞ is finished.
Cite:
Gubarev V.
Nonunital decompositions of the matrix algebra of order three
Hiroshima Mathematical Journal. 2024. V.54. N3. P.291-299. DOI: 10.32917/h2023008 WOS Scopus РИНЦ OpenAlex
Nonunital decompositions of the matrix algebra of order three
Hiroshima Mathematical Journal. 2024. V.54. N3. P.291-299. DOI: 10.32917/h2023008 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 15, 2023 |
| Published print: | Nov 9, 2024 |
| Published online: | Nov 9, 2024 |
Identifiers:
| Web of science: | WOS:001367372300002 |
| Scopus: | 2-s2.0-85209883161 |
| Elibrary: | 78983053 |
| OpenAlex: | W4404200427 |
Citing:
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