  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.

Rings and Algebras