A study of n-Lie-isoclinic Leibniz algebras-Reference-Cited by-同舟云学术

A study of n-Lie-isoclinic Leibniz algebras

Published:2019-02-15 Issue:01 Volume:19 Page:2050013
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Biyogmam G. R.¹,Casas J. M.²

Affiliation:

1. Department of Mathematics, Georgia College & State University, Campus Box 17, Milledgeville, GA 31061-0490, USA

2. Dpto. Matemática Aplicada I, Universidad de Vigo, E. E. Forestal, Campus Universitario A Xunqueira, 36005 Pontevedra, Spain

Abstract

In this paper, we introduce the concept of [Formula: see text]-[Formula: see text]-isoclinism on non-Lie Leibniz algebras. Among the results obtained, we provide several characterizations of [Formula: see text]-[Formula: see text]-isoclinic classes of Leibniz algebras. Also, we provide a characterization of [Formula: see text]-[Formula: see text]-stem Leibniz algebras, and prove that every [Formula: see text]-[Formula: see text]-isoclinic class of Leibniz algebras contains a [Formula: see text]-[Formula: see text]-stem Leibniz algebra.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820500139

Reference20 articles.

1. Some Theorems on Leibniz Algebras

2. On n-isoclinic Groups

3. The c-nilpotent Schur Lie-multiplier of Leibniz algebras

4. On Lie-isoclinic Leibniz algebras

5. The classification of 4-dimensional Leibniz algebras

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1. On Lie-isoclinic extensions of Leibniz n-algebras;Indian Journal of Pure and Applied Mathematics;2023-03-21

2. (TLie)-Leibniz algebras and related properties;Algebra and Discrete Mathematics;2023

3. On the Schur Lie-multiplier and Lie-covers of Leibniz n-algebras;Communications in Algebra;2022-08-24

4. $$\mathsf {Lie}$$-isoclinism in Leibniz n-algebras;São Paulo Journal of Mathematical Sciences;2022-04-06

5. Some Properties of ID∗-n-Lie-derivations of Leibniz algebras;Asian-European Journal of Mathematics;2021-05-25