SOME RESULTS ABOUT HOM-COMODULE ALGEBRAS WITH HOM-HOPF MODULE STRUCTURE

Lihong Dong, Shuan Xue
2019 International Electronic Journal of Algebra  
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. (2010) : 16T05 Mathematics Subject Classification
doi:10.24330/ieja.504128 fatcat:btvlud7bt5dhrjjvryb27qtl6e