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math.RA2019★ 1 cited
A diagram connecting Symmetric Leibniz algebras with Lie-admissible algebras
Benedikt Hurle
In this paper we study symmetric Leibniz and related algebras, namely symmetric dialgebras and symmetric Perm-algebras. We also calculate their Koszul duals, if not known. This wil…
math.RA2019
alpha-type Chevalley-Eilenberg cohomology of Hom-Lie algebras and bialgebras
Benedikt Hurle, Abdenacer Makhlouf
The purpose of this paper is to define an -type cohomology, which we call -type Chevalley-Eilenberg cohomology, for Hom-Lie algebras. We relate it to the known Chevalley-Eile…
math.RA2018
-type Hochschild cohomology of Hom-associative algebras and Hom-bialgebras
Benedikt Hurle, Abdenacer Makhlouf
In this paper we define a new cohomology for multiplicative Hom-associative algebras, which generalize Hochschild cohomology and fits with deformations of Hom-associative algebras…