Homotopy G-algebra structure on the cochain complex of hom-type algebras
Comptes Rendus Mathematique
A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. We show that the Hochschild type cochain complex of a hom-associative algebra carries a homotopy G-algebra structure. As a consequence, we get a Gerstenhaber algebra structure on the cohomology of a hom-associative algebra. We also find similar results for hom-dialgebras.
Das, Apurba, "Homotopy G-algebra structure on the cochain complex of hom-type algebras" (2018). Journal Articles. 1166.