Cohomology and deformations of hom-dendriform algebras and coalgebras
Hom-dendriform algebras are twisted analogs of dendriform algebras and are splittings of hom-associative algebras. In this paper, we define a cohomology and deformations for hom-dendriform algebras. We relate this cohomology to the Hochschild-type cohomology of hom-associative algebras. We also describe similar results for the twisted analog of dendriform coalgebras.