Rota–Baxter operators of weight zero on the matrix algebra of order three without unit in kernel Full article
| Journal |
Journal of Algebra
ISSN: 0021-8693 , E-ISSN: 1090-266X |
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| Output data | Year: 2025, Volume: 683, Pages: 253-277 Pages count : 25 DOI: 10.1016/j.jalgebra.2025.06.019 | ||||
| Tags | Rota–Baxter operator, Matrix algebra | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
We describe all Rota–Baxter operators R of weight zero on the matrix algebra M3(F) over a quadratically closed field F of characteristic not 2 or 3 such that R(1) = 0. Thus, we get a partial classification of solutions to the associative Yang-Baxter equation on M3(F). For the solution, the computer algebra system Singular was involved.
Cite:
Gubarev V.
Rota–Baxter operators of weight zero on the matrix algebra of order three without unit in kernel
Journal of Algebra. 2025. V.683. P.253-277. DOI: 10.1016/j.jalgebra.2025.06.019 WOS Scopus OpenAlex
Rota–Baxter operators of weight zero on the matrix algebra of order three without unit in kernel
Journal of Algebra. 2025. V.683. P.253-277. DOI: 10.1016/j.jalgebra.2025.06.019 WOS Scopus OpenAlex
Dates:
| Submitted: | Dec 6, 2024 |
| Published online: | Jul 2, 2025 |
| Published print: | Jul 8, 2025 |
Identifiers:
| Web of science: | WOS:001529863200004 |
| Scopus: | 2-s2.0-105009849077 |
| OpenAlex: | W4411956640 |
Citing:
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