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 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 …
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 …
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 …
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 …
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 …
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 …
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 …