On the solvability of graded Novikov algebras Научная публикация
| Журнал |
International Journal of Algebra and Computation
ISSN: 0218-1967 , E-ISSN: 1793-6500 |
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| Вых. Данные | Год: 2021, Том: 31, Номер: 7, Страницы: 1405-1418 Страниц : 14 DOI: 10.1142/S0218196721500491 | ||||||||
| Ключевые слова | Novikov algebra, graded algebra, solvability, nilpotency, automorphism, the ring of invariants | ||||||||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Российский научный фонд | 21-11-00286 |
Реферат:
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.
Библиографическая ссылка:
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
Даты:
| Поступила в редакцию: | 22 апр. 2021 г. |
| Принята к публикации: | 11 мая 2021 г. |
| Опубликована в печати: | 7 июн. 2021 г. |
Идентификаторы БД:
| Web of science: | WOS:000717064200004 |
| Scopus: | 2-s2.0-85110028394 |
| OpenAlex: | W3180208217 |