A Class of Generalized Derivations Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2022, Volume: 61, Number: 6, Pages: 466–480 Pages count : 15 DOI: 10.1007/s10469-023-09713-2 | ||||
| Tags | differential algebra, ternary derivation, generalized derivation, Novikov–Poisson algebra, Jordan superalgebra. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 21-11-00286 |
Abstract:
We consider a class of generalized derivations that arise in connection with the problem of adjoining unity to an algebra with generalized derivation, and of searching envelopes for Novikov–Poisson algebras. Conditions for the existence of the localization of an algebra with ternary derivation are specified, as well as conditions under which given an algebra with ternary derivation, we can construct a Novikov–Poisson algebra and a Jordan superalgebra. Finally, we show how the simplicity of an algebra with Breˇsar generalized derivation is connected with simplicity of the appropriate Novikov algebra.
Cite:
Zakharov A.S.
A Class of Generalized Derivations
Algebra and Logic. 2022. V.61. N6. P.466–480. DOI: 10.1007/s10469-023-09713-2 WOS Scopus РИНЦ OpenAlex
A Class of Generalized Derivations
Algebra and Logic. 2022. V.61. N6. P.466–480. DOI: 10.1007/s10469-023-09713-2 WOS Scopus РИНЦ OpenAlex
Original:
Захаров А.С.
О некотором классе обобщённых дифференцирований
Алгебра и логика. 2022. Т.61. №6. С.687-705. DOI: 10.33048/alglog.2022.61.602 РИНЦ
О некотором классе обобщённых дифференцирований
Алгебра и логика. 2022. Т.61. №6. С.687-705. DOI: 10.33048/alglog.2022.61.602 РИНЦ
Dates:
| Submitted: | Jul 24, 2022 |
| Accepted: | Oct 13, 2023 |
| Published print: | Nov 3, 2023 |
| Published online: | Nov 3, 2023 |
Identifiers:
| Web of science: | WOS:001094303700001 |
| Scopus: | 2-s2.0-85175657204 |
| Elibrary: | 64611863 |
| OpenAlex: | W4388298137 |