On the Schur Lie-multiplier and Lie-covers of Leibniz n-algebras

H Safa, GR Biyogmam - Communications in Algebra, 2023 - Taylor & Francis
In this article, we study the notion of central extensions of Leibniz n-algebras relative to n-Lie
algebras to study properties of Schur Lie-multiplier and Lie-covers on Leibniz n-algebras …

Upper bounds on the dimension of the Schur -multiplier of -nilpotent Leibniz -algebras

NGB Bogmis, GR Biyogmam, H Safa… - arXiv preprint arXiv …, 2024 - arxiv.org
The Schur $\mathsf {Lie} $-multiplier of Leibniz algebras is the Schur multiplier of Leibniz
algebras defined relative to the Liezation functor. In this paper, we study upper bounds for …

On Lie-isoclinic extensions of Leibniz n-algebras

H Safa, GR Biyogmam - Indian Journal of Pure and Applied Mathematics, 2024 - Springer
In this paper, we study the notion of isoclinism on Lie-central extensions of Leibniz n-
algebras. We provide several equivalent conditions under which Lie-central extensions of …