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 | 2024-02-14T09:42:39Z | |
| dc.date.available | 2024-02-14T09:42:39Z | |
| dc.date.issued | 2023-12-30 | |
| 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 ei, e2, ... , em, ... be a linear basis of A. In 2010 A. Naurazbekova, using the methods of GrObner-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_RU |
| dc.identifier.citation | Zhangazinova D.M. Automorphisms of the universal enveloping algebra of a finite-dimensional Zinbiel algebra with zero multiplication / D.M. Zhangazinova , A.S. Naurazbekova// Bulletin o f the Karaganda University. Mathematics Series, No. 4(112), 2023, pp. 173-184 | ru_RU |
| dc.identifier.issn | 2663-5011 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/17978 | |
| dc.language.iso | other | ru_RU |
| dc.publisher | Karagandy University of the name of acad. E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | Bulletin o f the Karaganda University. Mathematics Series,;№4(112) | |
| dc.subject | Zinbiel (dual Leibniz) algebra | ru_RU |
| dc.subject | universal (multiplicative) enveloping algebra | ru_RU |
| dc.subject | basis | ru_RU |
| dc.subject | automorphism | ru_RU |
| dc.subject | affine automorphism | ru_RU |
| dc.title | Automorphisms of the universal enveloping algebra of a finite-dimensional Zinbiel algebra with zero multiplication | ru_RU |
| dc.title.alternative | Нелдік кебейтідісі бар ақырлыөлшемді Зинбил алгебрасының, универсалды ораушы алгебрасыныц автоморфизмдері | ru_RU |
| dc.title.alternative | Автоморфизмы универсальной обертывающей алгебры конечномерной алгебры Зинбиля с нулевым умножением | ru_RU |
| dc.type | Article | ru_RU |