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 …

Some properties of c-covers of a pair of Lie algebras

H Arabyani, H Safa - Quaestiones Mathematicae, 2019 - Taylor & Francis
Abstract In [H. Safa and H. Arabyani, On c-nilpotent multiplier and c-covers of a pair of Lie
algebras, Commun. Algebra 45 (10)(2017), 4429–4434], we characterized the structure of …

[PDF][PDF] Bounds for the dimension of the -nilpotent multiplier of a pair of Lie algebras

H Arabyani - Bulletin of the Iranian Mathematical Society, 2017 - bims.iranjournals.ir
Bulletin of the Iranian Mathematical Society Page 1 . Bulletin of the . Iranian Mathematical
Society . ISSN: 1017-060X (Print) . ISSN: 1735-8515 (Online) . Vol. 43 (2017), No. 7, pp …

Some Results on the c-Nilpotent Multiplier of a Pair of Lie Algebras

H Arabyani - Bulletin of the Iranian Mathematical Society, 2019 - Springer
The Schur multiplier of a Lie algebra L, was introduced by Batten et al.(Commun Algebra 24:
4319–4330, 1996). Salemkar and colleagues generalized the concept of the Schur …

Capable pairs of Lie algebras

H Safa, H Arabyani - Mathematical Proceedings of the Royal Irish …, 2018 - muse.jhu.edu
The notion of capability of Lie algebras was studied by Salemkar et al. in 2008, and is
analogous to the group case. A Lie algebra L is called capable if there exists a Lie algebra K …

[PDF][PDF] On dimension of c-nilpotent multiplier of a pair of Lie algebras

H Arabyani - Southeast Asian Bull. Math, 2019 - seams-bull-math.ynu.edu.cn
The notion of the Schur multiplier of a Lie algebra L, is introduced by Batten and colleagues.
Also, in 2009 Salemkar et al. generalized the notion of the Schur multiplier of a Lie algebra …

[PDF][PDF] Bounds for the dimension of Lie algebras

H Arabyani - Journal of Mathematical Extension, 2019 - ijmex.com
In 1993, Moneyhun showed that if L is a Lie algebra such that dim (L/Z (L))= n, then dim
(L2) 1 2 n (n 1). The author and Saeedi investigated the converse of Moneyhun's result …

Some properties of the c-nilpotent multiplier of a pair of Lie algebras

H Arabyani - Indian Journal of Pure and Applied Mathematics, 2020 - Springer
The concept of the Schur multiplier of a Lie algebra was introduced by Batten et al.(1996).
This concept was extended to that of ac-nilpotent multiplier of a Lie algebra, and then further …

The Schur multiplier of pairs of nilpotent Lie algebras

H Arabyani - Global Analysis and Discrete Mathematics, 2021 - gadm.du.ac.ir
The Schur multiplier of a pair of groups was introduced by Ellis in 1998. In this paper, we
study the Schur multiplier and the c-nilpotent multiplier of pairs of Lie algebras and give …