On the algebra of derivations of some low-dimensional Leibniz algebras-Reference-Cited by-同舟云学术

On the algebra of derivations of some low-dimensional Leibniz algebras

Published:2023 Issue:1 Volume:36 Page:43-60
ISSN:1726-3255
Container-title:Algebra and Discrete Mathematics
language:
Short-container-title:ADM

Author:

Kurdachenko Leonid, ,Semko Mykola,Subbotin Igor, ,

Abstract

Let L be an algebra over a field F with the binary operations + and [,]. Then L is called a left Leibniz algebra if it satisfies the left Leibniz identity [[a,b],c]=[a,[b,c]]−[b,[a,c]] for all a,b,c∈L. We study the algebras of derivations of nilpotent Leibniz algebras of low dimensions.

Publisher

Luhansk Taras Shevchenko National University

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference13 articles.

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