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

Autor:	D.M. Zhangazinova, A.S. Naurazbekova
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Zinbiel (dual Leibniz) algebra universal (multiplicative) enveloping algebra basis automorphism affine automorphism Analysis QA299.6-433 Analytic mechanics QA801-939 Probabilities. Mathematical statistics QA273-280
Zdroj:	Қарағанды университетінің хабаршысы. Математика сериясы, Vol 112, Iss 4 (2023)
Druh dokumentu:	article
ISSN:	2518-7929 2663-5011
DOI:	10.31489/2023m4/173-184
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/deacafcc60614769865185e136f631af Zobrazit plný text záznamu View record in DOAJ