Semiprime Novikov algebras Full article
| Journal |
International Journal of Algebra and Computation
ISSN: 0218-1967 , E-ISSN: 1793-6500 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2022, Volume: 32, Number: 7, Pages: 1369-1378 Pages count : 10 DOI: 10.1142/S0218196722500606 | ||||
| Tags | center; Novikov algebra; nucleus; prime algebra; semiprime algebra | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (1)
| 1 | Russian Science Foundation | 21-11-00286 |
Abstract:
We study prime and semiprime Novikov algebras. We prove that prime nonassociative Novikov algebra has zero nucleus and center. It is well known that an ideal of an alternative semiprime algebra is semiprime algebra. We proved this statement for Novikov algebras. It implies that a Baer radical exists in a class of Novikov algebras.
Cite:
Panasenko A.S.
Semiprime Novikov algebras
International Journal of Algebra and Computation. 2022. V.32. N7. P.1369-1378. DOI: 10.1142/S0218196722500606 WOS Scopus РИНЦ OpenAlex
Semiprime Novikov algebras
International Journal of Algebra and Computation. 2022. V.32. N7. P.1369-1378. DOI: 10.1142/S0218196722500606 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | May 23, 2022 |
| Accepted: | Jun 29, 2022 |
| Published online: | Aug 13, 2022 |
Identifiers:
| Web of science: | WOS:000848577400001 |
| Scopus: | 2-s2.0-85136531124 |
| Elibrary: | 57920563 |
| OpenAlex: | W4281647671 |