Automorphisms of the universal enveloping algebra of a finite-dimensional Zinbiel algebra with zero multiplication

dc.contributor.author	Zhangazinova, D.M.
dc.contributor.author	Naurazbekova, A.S.
dc.date.accessioned	2024-12-17T04:53:30Z
dc.date.available	2024-12-17T04:53:30Z
dc.date.issued	2023
dc.identifier.other	DOI 10.31489/2023M4/173-184
dc.identifier.uri	http://rep.enu.kz/handle/enu/20235
dc.description.abstract	In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1, e2, be a linear basis of A. In 2010 A. Naurazbekova, using the methods of Gr¨obner-Shirshov bases, constructed the basis of the universal (multiplicative) enveloping algebra U(A) of A. Using this result, the automorphisms of the universal enveloping algebra of a finite-dimensional Zinbiel algebra with zero multiplication are described.	ru
dc.language.iso	en	ru
dc.publisher	Bulletin of the Karaganda University. Mathematics Series	ru
dc.relation.ispartofseries	No. 4(112), 2023, pp. 173–184;
dc.subject	Zinbiel (dual Leibniz) algebra	ru
dc.subject	universal (multiplicative) enveloping algebra	ru
dc.subject	basis	ru
dc.subject	automorphism	ru
dc.subject	affine automorphism	ru
dc.title	Automorphisms of the universal enveloping algebra of a finite-dimensional Zinbiel algebra with zero multiplication	ru
dc.type	Article	ru