(TLie)-Leibniz algebras and related properties

Authors

Calvin Tcheka, University of Dschang
Ariane Kamgam Dayo, University of Dschang
Guy Roger Biyogmam, Georgia College & State University

Document Type

Article

Publication Date

1-1-2023

Publication Title

Algebra and Discrete Mathematics

Abstract

In [6], it is studied properties of the class DLie of non-perfect Leibniz algebras with non-trivial Lie-centers. In this paper, we study properties of Leibniz algebras of class TLie, a subclass of both the class DLie and the class of Lie-stem Leibniz algebras. We determine necessary and sufficient conditions under which a non-Lie Leibniz algebra is of class TLie and study their relationship with pseudo-abelian Leibniz algebras. We also show that Leibniz algebras of class TLie have semi-simple central Lie-derivations.

Department

Mathematics

Volume Number

36

Issue Number

2

First Page

243

Last Page

256

DOI

10.12958/adm2049

Recommended Citation

Tcheka, Calvin; Dayo, Ariane Kamgam; and Biyogmam, Guy Roger, "(TLie)-Leibniz algebras and related properties" (2023). Faculty and Staff Works. 433.
https://kb.gcsu.edu/fac-staff/433