Generating sets of <i>F</i>/<i>R</i>' Leibniz algebras-Reference-Cited by-同舟云学术

Generating sets of F/R' Leibniz algebras

Published:2023-07-25 Issue:5 Volume:30 Page:769-773
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Özkurt Zeynep¹^ORCID

Affiliation:

1. Department of Mathematics , Çukurova University , Adana , Turkey

Abstract

Abstract Let F be a free Leibniz algebra generated by the set X = { x 1 , … , x n }

{X=\{x_{1},\dots,x_{n}\}}

over the field K of characteristic 0 and let R be an ideal of F. In this study, a necessary and sufficient condition for n elements of the Leibniz algebra F / R ′

{F/R^{\prime}}

to be a generating set is given.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2051/pdf

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