On Dextral Symmetric Algebra
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913386042753024 |
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| author | Dutta, Dimpy M. Bynnud, Shanborlang |
| author_facet | Dutta, Dimpy M. Bynnud, Shanborlang |
| contents | We define the notion of dextral symmetric algebras (not necessarily associative), motivated by the idea of symmetric rings. We derive a complete classification of dextral symmetric algebras of Leavitt path algebras, and right Leibniz algebras up to dimension $4$. We also obtain that a finite-dimensional dextral symmetric right Leibniz algebra is solvable if and only if it satisfies a weaker notion of nilpotency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04013 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Dextral Symmetric Algebra Dutta, Dimpy M. Bynnud, Shanborlang Rings and Algebras 17A32, 16S88, 17A01 We define the notion of dextral symmetric algebras (not necessarily associative), motivated by the idea of symmetric rings. We derive a complete classification of dextral symmetric algebras of Leavitt path algebras, and right Leibniz algebras up to dimension $4$. We also obtain that a finite-dimensional dextral symmetric right Leibniz algebra is solvable if and only if it satisfies a weaker notion of nilpotency. |
| title | On Dextral Symmetric Algebra |
| topic | Rings and Algebras 17A32, 16S88, 17A01 |
| url | https://arxiv.org/abs/2406.04013 |