- International Electronic Journal of Algebra
- Volume:25 Issue:25
- SOME RESULTS ABOUT HOM-COMODULE ALGEBRAS WITH HOM-HOPF MODULE STRUCTURE
SOME RESULTS ABOUT HOM-COMODULE ALGEBRAS WITH HOM-HOPF MODULE STRUCTURE
Authors : Lihong DONG, Shuan XUE
Pages : 104-119
Doi:10.24330/ieja.504128
View : 15 | Download : 10
Publication Date : 2019-01-08
Article Type : Research Paper
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 Hom- bialgebras, 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