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

D. Zhangazinova, Altyngul Naurazbekova

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2023

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DOI 10.31489/2023m4/173-184
Data confidence 70 medium
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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.