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Some results on the second relative homology of Leibniz algebras
Seyedeh Narges Hosseini, Behrouz Edalatzadeh, Ali Reza Salemkar
In this paper, the structure of the second relative homology and the relative stem cover of the direct sum of two pairs of Leibniz algebras are determined by means of the non-abeli…
A non-abelian exterior product of Hom-Leibniz algebras
Behrouz Edalatzadeha, Seyedeh Narges Hosseinib, Ali Reza Salemkarb
In this paper, we introduce a non-abelian exterior product of Hom-Leibniz algebras and investigate its relative to the Hopf's formula. We also construct an eight-term exact sequenc…
Some properties on Schur multiplier and cover of a pair of Lie algebras
Hamid Mohammadzadeh, Behrouz Edalatzadeh
Similar to works of G. Ellis (1998), the concept of covering pair of Lie algebras is defined. Also, we show the existence of covering pair for the pair of Lie algebras (L,N) and th…