Automorphisms of the universal enveloping algebra of a finite-dimensional Zinbiel algebra with zero multiplication
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Published:2023-12-29
Issue:4
Volume:112
Page:173-184
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ISSN:2663-5011
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Container-title:BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
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language:
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Short-container-title:Bul. Kar. Univ. - Math.
Author:
Zhangazinova D.M.,Naurazbekova A.S.
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,...,em,... be a linear basis of A. In 2010 A. Naurazbekova, using the methods of Gro¨bner-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.
Publisher
Karagandy University of the name of academician E.A. Buketov
Subject
General Mathematics