Left Ideals of Semiprime Novikov Algebras Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2026, Volume: 67, Number: 1, Pages: 93-98 Pages count : 6 DOI: 10.1134/s003744662601009x | ||||
| Tags | Novikov algebra, prime algebra, semiprime algebra, annihilator, minimal ideal | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0017 |
Abstract:
We study left ideals of Novikov algebras. It is shown that the center and the associative center of an ideal of a semiprime Novikov algebra are inherited from the whole algebra. We prove that in a prime nonassociative Novikov algebra, every left ideal that does not lie in the right annihilator
of the algebra is itself a prime nonassociative Novikov algebra. We also obtain a description of left ideals of a semiprime Novikov algebra. It is shown that a minimal left ideal of a Novikov algebra lies either in the center or in the associator ideal of the algebra.
Cite:
Kotenkov N.V.
, Panasenko A.S.
Left Ideals of Semiprime Novikov Algebras
Siberian Mathematical Journal. 2026. V.67. N1. P.93-98. DOI: 10.1134/s003744662601009x OpenAlex
Left Ideals of Semiprime Novikov Algebras
Siberian Mathematical Journal. 2026. V.67. N1. P.93-98. DOI: 10.1134/s003744662601009x OpenAlex
Original:
Котенков Н.В.
, Панасенко А.С.
Левые идеалы полупервичных алгебр Новикова
Сибирский математический журнал. 2026. Т.67. №1. С.114-121. DOI: 10.33048/smzh.2026.67.109
Левые идеалы полупервичных алгебр Новикова
Сибирский математический журнал. 2026. Т.67. №1. С.114-121. DOI: 10.33048/smzh.2026.67.109
Dates:
| Submitted: | Jul 10, 2025 |
| Accepted: | Nov 2, 2025 |
| Published print: | Jan 29, 2026 |
| Published online: | Jan 29, 2026 |
Identifiers:
| OpenAlex: | W7126064099 |
Citing:
Пока нет цитирований