Gerstenhaber-Schack Cohomology for Hom-bialgebras and Deformations
  Hom-bialgebras and Hom-Hopf algebras are generalizations of bialgebra and Hopf algebra structures, where associativity and coassociativity conditions are twisted by a homomorphism. The purpose of this paper is to define a Gerstenhaber-Schack cohomology complex for Hom-bialgebras and then study one parameter formal deformations. 
Khadra Dekkar and Abdenacer Makhlouf
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