Radicals of Lie-solvable Novikov algebras Full article
| Journal |
International Journal of Algebra and Computation
ISSN: 0218-1967 , E-ISSN: 1793-6500 |
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| Output data | Year: 2026, Pages: 1-11 Pages count : 14 DOI: 10.1142/s0218196726500451 | ||
| Tags | Novikov algebra, radical, nil algebra, Lie-solvable algebra | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 25-41-00005 |
Abstract:
In this paper, we show that, for a Lie-solvable Novikov algebra, the Baer radical is precisely the set of all right nilpotent elements, whereas the Andrunakievich radical is the largest left quasiregular ideal. We investigate the extent to which certain properties of associative and commutative algebras equipped with a derivation are preserved under the Gel’fand–Dorfman construction.
Cite:
Panasenko A.S.
Radicals of Lie-solvable Novikov algebras
International Journal of Algebra and Computation. 2026. P.1-11. DOI: 10.1142/s0218196726500451 WOS Scopus OpenAlex
Radicals of Lie-solvable Novikov algebras
International Journal of Algebra and Computation. 2026. P.1-11. DOI: 10.1142/s0218196726500451 WOS Scopus OpenAlex
Dates:
| Submitted: | Jan 22, 2026 |
| Accepted: | Jul 8, 2026 |
| Published online: | Jul 29, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001836015600001 |
| ≡ Scopus: | 2-s2.0-105046513330 |
| ≡ OpenAlex: | W7169628479 |