Twisted Partial Actions of Monoidal Hom-Hopf Algebras

Abstract

In this work, the notion of a twisted partial Hom-Hopf action is introduced, and the conditions on partial cocycles are established in order to construct partial Hom-crossed products. Also, the equivalence of partial Hom-crossed products is discussed. Finally, we shall describe the coquasitriangular structures on partial Hom-crossed products.