arXiv subjects

Ali Reza Salemkar

Publications and source records attributed to Ali Reza Salemkar.

2 recordsLinked to original sources

arXiv2021

Some results on the second relative homology of Leibniz algebras

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-abelian tensor product of Leibniz algebras. We also characterize all pairs of finite dimensional nilpotent Leibniz algebras such that...

math.RA↗

arXiv2021

The exterior product and homology of Hom-Lie algebras

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 sequence in the homology of Hom-Lie algebras. We also investigate the capability property of Hom-Lie algebras via the exterior product.

math.RA↗