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 …

Polynilpotent capability of a pair of Lie algebras

H Arabyani - Advanced Studies: Euro-Tbilisi Mathematical Journal, 2023 - projecteuclid.org
The notion of capability for pairs of groups was defined by Ellis in 1996. Also, the concept of
capability of Lie algebras was introduced by some authors, and is analogous to the group …

[PDF][PDF] On Isoclinic Extensions of Lie Algebras and Nilpotent Lie Algebras

H Arabyani, MJ Sadeghifard - … Mathematicae-General Algebra …, 2021 - bibliotekanauki.pl
On isoclinic extensions of Lie algebras and Nilpotent Lie algebras Page 1 Discussiones
Mathematicae General Algebra and Applications 41 (2021) 15–22 doi:10.7151/dmgaa.1346 ON …