On the embedding of left-symmetric algebras into differential Perm-algebras

On the embedding of left-symmetric algebras into differential Perm-algebras Full article

Journal

Communications in Algebra
ISSN: 0092-7872 , E-ISSN: 1532-4125

Output data

Year: 2022, Volume: 50, Number: 8, Pages: 3246-3260 Pages count : 15 DOI: 10.1080/00927872.2022.2028798

Tags

derivation; dialgebra; identity; Left-symmetric algebra; Novikov algebra

Authors

Kolesnikov P.S. ¹ , Sartayev B.K. ^1,2

Affiliations

1	Department of Algebra, Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
2	Department of Engineering and Natural Sciences, Suleyman Demirel University, Kaskelen, Kazakhstan

Funding (1)

Sobolev Institute of Mathematics

0314-2019-0001

Given an associative algebra satisfying the left commutativity identity abc = bac (Perm-algebra) with a derivation d, the new operation (Formula presented.) is left-symmetric (pre-Lie). We derive necessary and sufficient conditions for a left-symmetric algebra to be embeddable into a differential Perm-algebra.

Kolesnikov P.S. , Sartayev B.K.
On the embedding of left-symmetric algebras into differential Perm-algebras
Communications in Algebra. 2022. V.50. N8. P.3246-3260. DOI: 10.1080/00927872.2022.2028798 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000753900200001
Scopus:	2-s2.0-85124909287
Elibrary:	48150969
OpenAlex:	W3168678759

DB	Citing
Scopus	9
Web of science	7
OpenAlex	6
Elibrary	2