On the solvability of graded 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: 2021, Volume: 31, Number: 7, Pages: 1405-1418 Pages count : 14 DOI: 10.1142/S0218196721500491 | ||||||||
| Tags | Novikov algebra, graded algebra, solvability, nilpotency, automorphism, the ring of invariants | ||||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 21-11-00286 |
Abstract:
We show that the right ideal of a Novikov algebra generated by the square of
a right nilpotent subalgebra is nilpotent. We also prove that a G-graded Novikov algebra
N over a field K with solvable 0-component N0 is solvable, where G is a finite additive
abelean group and the characteristic of K does not divide the order of the group G. We
also show that any Novikov algebra N with a finite solvable group of automorphisms G
is solvable if the algebra of invariants N G is solvable.
Cite:
Umirbaev U.
, Zhelyabin V.
On the solvability of graded Novikov algebras
International Journal of Algebra and Computation. 2021. V.31. N7. P.1405-1418. DOI: 10.1142/S0218196721500491 WOS Scopus OpenAlex
On the solvability of graded Novikov algebras
International Journal of Algebra and Computation. 2021. V.31. N7. P.1405-1418. DOI: 10.1142/S0218196721500491 WOS Scopus OpenAlex
Dates:
| Submitted: | Apr 22, 2021 |
| Accepted: | May 11, 2021 |
| Published print: | Jun 7, 2021 |
Identifiers:
| Web of science: | WOS:000717064200004 |
| Scopus: | 2-s2.0-85110028394 |
| OpenAlex: | W3180208217 |