On radicals of Novikov algebras
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910294821830656 |
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| author | Panasenko, A. S. |
| author_facet | Panasenko, A. S. |
| contents | We show that in a prime nonassociative Novikov algebra every nonzero ideal is non-associative. We prove that Baer (and Andrunakievich) radical and left quasiregular radical coincide in finite dimensional Novikov algebras over a field of characteristic 0 or algebraically closed field of odd characteristic. We show non-existence of right quasiregular radical in finite dimensional Novikov algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_13358 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On radicals of Novikov algebras Panasenko, A. S. Rings and Algebras 17D25 (Primary) 17A65, 17A60 (Secondary) We show that in a prime nonassociative Novikov algebra every nonzero ideal is non-associative. We prove that Baer (and Andrunakievich) radical and left quasiregular radical coincide in finite dimensional Novikov algebras over a field of characteristic 0 or algebraically closed field of odd characteristic. We show non-existence of right quasiregular radical in finite dimensional Novikov algebras. |
| title | On radicals of Novikov algebras |
| topic | Rings and Algebras 17D25 (Primary) 17A65, 17A60 (Secondary) |
| url | https://arxiv.org/abs/2212.13358 |