On the endomorphisms and derivations of some Leibniz algebras-Reference-Cited by-同舟云学术

On the endomorphisms and derivations of some Leibniz algebras

Published:2022-10-20 Issue: Volume: Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Kurdachenko Leonid A.¹,Subbotin Igor Ya.²^ORCID,Yashchuk Viktoriia S.¹

Affiliation:

1. Department of Geometry and Algebra, Faculty of Mechanics and Mathematics, Oles Honchar Dnipro National University, Gagarin ave., 72, Dnipro, 49010, Ukraine

2. Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, Los Angeles, California, 90045, USA

Abstract

We study the endomorphisms and derivations of an infinite-dimensional cyclic Leibniz algebra. Among others it was found that if [Formula: see text] is a cyclic infinite-dimensional Leibniz algebra over a field [Formula: see text], then the group of all automorphisms of [Formula: see text] is isomorphic to a multiplicative group of the field [Formula: see text]. The description of an algebra of derivations of a cyclic infinite-dimensional Leibniz algebra has been obtained.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498824500026

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the derivations of Leibniz algebras of low dimension;Reports of the National Academy of Sciences of Ukraine;2023-05-03

2. On the algebra of derivations of some low-dimensional Leibniz algebras;Algebra and Discrete Mathematics;2023

3. On the structure of the algebra of derivations of cyclic Leibniz algebras;Algebra and Discrete Mathematics;2021