Let 0→ r→ f→ q→ 0 be a free presentation of a Leibniz algebra q and m≅ s/r be a two-sided ideal of q such that s is a two-sided ideal of f. In this paper, we study the notion of the Schur …
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 …
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 …
H Safa - Communications in Algebra, 2022 - Taylor & Francis
In the present paper, we study the notion of the Schur multiplier M (L) of an n-Lie superalgebra L= L 0⊕ L 1 and prove that dim M (L)≤∑ i= 0 n (mi) L (n− i, k), where dim L …
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 …
In this paper, the structure of the second relative homology and the relative stem cover of the direct sum of two pairs of Leibniz algebras are determined by means of the non-abelian …
In this paper, the structure of the second relative homology and the relative stem cover of the direct sum of two pairs of Leibniz algebras are determined by means of the non-abelian …