On multipliers of pairs of Lie superalgebras

H Safa - Quaestiones Mathematicae, 2022 - Taylor & Francis
On multipliers of pairs of Lie superalgebras Page 1 Quaestiones Mathematicae 2022, 45(12):
1909–1920 c 2021 NISC (Pty) Ltd https://doi.org/10.2989/16073606.2021.1978010 ON …

On the dimension of the Schur Lie-multiplier of a pair of Leibniz algebras

H Safa - Journal of Algebra, 2021 - Elsevier
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 …

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 …

The Schur multiplier of an n-Lie superalgebra

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 …

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 …

On the second relative homology of Leibniz algebras

B Edalatzadeh, SN Hosseini… - Advanced Studies: Euro …, 2024 - projecteuclid.org
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 …

Some results on the second relative homology of Leibniz algebras

SN Hosseini, B Edalatzadeh, AR Salemkar - arXiv preprint arXiv …, 2021 - arxiv.org
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 …