Let L be a non-abelian nilpotent Lie algebra of dimension n and put s (L)= 1 2 (n− 1)(n− 2)+
1− dim ℳ (L), where ℳ (L) denotes the Schur multiplier of L. Niroomand and Russo in 2011 …

In this paper, we characterize the structure of the c-nilpotent multiplier of a pair of Lie
algebras concerning the c-covering pairs and discuss some results on the existence of c …

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 …

In this paper, we show that converse of the Schur's theorem is true for Lie superalgebra $ L $
with the minimal generator number pairs $(p\vert q) $ of $ L/Z (L) $ when $\mathrm {sdim} L …

The Lie algebra analogue of Schur's result which is proved by Moneyhun in 1994, states that
if L is a Lie algebra such that dimL/Z (L)= n, then dimL (2)= 1 2 n (n− 1)− s for some non …

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 …

Let L be a finite-dimensional nilpotent Lie algebra and d (L/Z (L)) be the minimal number
generators for L/Z (L). It is known dim L/Z (L)= d (L/Z (L)) dim L 2-t (L) for an integer t (L)≥ 0 …

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 c-nilpotent multiplier of a Lie algebra, was introduced by Salemkar et al. Several authors
investigated to develop some results on the c-nilpotent multiplier of Lie algebras. In this …

Schur proved that if G is a group such that G/Z (G) is finite, then G′ is finite. Several authors
studied the converse of Schur's theorem. In this paper, we extend the converse of Schur's …