Document Type

Article

Publication Date

2020

Publication Title

Algebra and Discrete Mathematics

Abstract

A Lie subalgebra of a given Leibniz algebra is said to be an absolute maximal Lie subalgebra if it has codimension one. In this paper, we study some properties of non-Lie Leibniz algebras containing absolute maximal Lie subalgebras. When the dimension and codimension of their Lie-center are greater than two, we refer to these Leibniz algebras as s-Leibniz algebras (strong Leibniz algebras). We provide a classification of nilpotent Leibniz s-algebras of dimension up to five.

Department

Mathematics

Volume Number

29

Issue Number

1

First Page

52

Last Page

65

Comments

© Algebra and Discrete Mathematics.

DOI

10.12958/adm1165

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