In this article, we study the notion of central extensions of Leibniz n-algebras relative to n-Lie
algebras to study properties of Schur Lie-multiplier and Lie-covers on Leibniz n-algebras …

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 …

A Lie algebra L is called capable, if there exists a Lie algebra E such that L≅ E/Z (E). The
concept of capability for Lie algebras was introduced by Salemkar et al. In this paper, the …

Schur proved that if the center of a group G has finite index, then the derived subgroup G′
is also finite. Moneyhun proved that if L is a Lie algebra such that dim (L/Z (L))= n, then dim …

The Baer's theorem in the termes of the Lie algebras states that for a Lie algebra $ L $ the
finiteness of $\mathrm {dim}(L/Z_i (L)) $ implies the finiteness of $\mathrm {dim}(\gamma_ {i+ …