Novikov Z2-Graded Algebras with an Associative 0-Component Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 2, Pages: 426-440 Pages count : 15 DOI: 10.1134/s0037446624020150 | ||
| Tags | associative algebra, Lie algebra, Novikov algebra, PI-algebra, automorphism group | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
In 1974 Kharchenko proved that if a 0-component of an n-graded associative algebra is PI then this algebra is PI. In the Novikov algebras of characteristic 0 the existence of a polynomial identity is equivalent to the solvability of the commutator ideal. We study a Z2-graded Novikov algebra N = A+M and prove that if the characteristic of the basic field is not 2 or 3 and its 0-component A is associative or Lie-nilpotent of index 3 then the commutator ideal [N,N] issolvable.
Cite:
Panasenko A.S.
, Zhelyabin V.N.
Novikov Z2-Graded Algebras with an Associative 0-Component
Siberian Mathematical Journal. 2024. V.65. N2. P.426-440. DOI: 10.1134/s0037446624020150 WOS Scopus РИНЦ РИНЦ OpenAlex
Novikov Z2-Graded Algebras with an Associative 0-Component
Siberian Mathematical Journal. 2024. V.65. N2. P.426-440. DOI: 10.1134/s0037446624020150 WOS Scopus РИНЦ РИНЦ OpenAlex
Dates:
| Submitted: | Dec 5, 2023 |
| Accepted: | Jan 28, 2024 |
| Published print: | Mar 25, 2024 |
| Published online: | Mar 25, 2024 |
Identifiers:
| Web of science: | WOS:001256062900016 |
| Scopus: | 2-s2.0-85188503823 |
| Elibrary: | 66775058 | 67308257 |
| OpenAlex: | W4393167935 |