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

Year 2019, Volume: 25 Issue: 25, 104 - 119, 08.01.2019

Lihong Dong Shuan Xue

https://doi.org/10.24330/ieja.504128

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

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