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 …

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 …

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 …

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 …

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 …

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 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 …

The notion of the Schur multiplier of a Lie algebra L was introduced by Batten in 1996.
Recently, the first author introduced the concept of the c-nilpotent multiplier of a pair of Lie …

In this paper, we study the notion of c-isoclinism for the pairs of Filippov algebras. Also, we
give an equivalent condition for pairs of Filippov algebras to be c-isoclinic. In particular, it is …

In the present paper we introduce the concept of isoclinism on the relative central extensions
of pairs of Lie algebras, which forms an equivalence relation and we show that each …