Title of article :
SOME RESULTS ABOUT HOM-COMODULE ALGEBRAS WITH HOM-HOPF MODULE STRUCTURE
Author/Authors :
Dong, Lihong College of Mathematics and Information Science - Henan Normal University, China , Xue, Shuan College of Mathematics and Information Science - Henan Normal University, China
Abstract :
The main subject of this paper is Hom-comodule algebras with
Hom-Hopf module structure. First, we give the factorization of a class of Hombialgebras, which is not only Hom-module coalgebras but also Hom-comodule
algebras with Hom-Hopf module structure. Next, we obtain the factorization of
this class of Hom-comodule algebras. Finally, we discuss the relation between
this class of Hom-comodule algebas and cleft extensions
Keywords :
Hom-comodule algebra , Hom-Hopf module , Hom-crossed product algebra , cleft extension
Journal title :
International Electronic Journal of Algebra