A study of $n$-Lie-isoclinic Leibniz algebras

G. R. Biyogmam; J. M. Casas

A study of $n$-Lie-isoclinic Leibniz algebras

Rings and Algebras 2018-05-17 v1

Authors: G. R. Biyogmam , J. M. Casas

Abstract

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

Keywords

Leibniz algebras n-Lie-isoclinism n-Lie-stem algebras characterization non-Lie

Cite

@article{arxiv.1805.06170,
  title  = {A study of $n$-Lie-isoclinic Leibniz algebras},
  author = {G. R. Biyogmam and J. M. Casas},
  journal= {arXiv preprint arXiv:1805.06170},
  year   = {2018}
}

Comments

17 pages

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