3 papers
math.RA2021
The exterior product and homology of Hom-Lie algebras
Negur Shahni Karamzadeh, Seyedeh Narges Hosseini, Ali Reza Salemkar
In this article, we use the theory of (non-abelian) exterior product of Hom-Lie algebras to prove the Hopf formula for these algebras. As an application, we construct an eight-term…
math.RA2021
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…
math.RA2021
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…