Radicals of Lie-solvable Novikov algebras
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909995274076160 |
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| author | Panasenko, A. S. |
| author_facet | Panasenko, A. S. |
| contents | We prove that in a Lie-solvable Novikov algebra, the Baer radical coincides with the set of all right-nilpotent elements, and the Andrunakievich radical coincides with the largest left-quasiregular ideal. We investigate the stability of some properties of commutative algebras with derivation after applying the Gelfand-Dorfman construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13185 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Radicals of Lie-solvable Novikov algebras Panasenko, A. S. Rings and Algebras 17D25, 17A30, 17A65 We prove that in a Lie-solvable Novikov algebra, the Baer radical coincides with the set of all right-nilpotent elements, and the Andrunakievich radical coincides with the largest left-quasiregular ideal. We investigate the stability of some properties of commutative algebras with derivation after applying the Gelfand-Dorfman construction. |
| title | Radicals of Lie-solvable Novikov algebras |
| topic | Rings and Algebras 17D25, 17A30, 17A65 |
| url | https://arxiv.org/abs/2601.13185 |