A Maschke type theorem for relative Hom-Hopf modules

Title:

A Maschke type theorem for relative Hom-Hopf modules

Creator:

Guo, Shuangjian and Chen, Xiu-Li

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6f1ab240-fcb8-406b-ada1-0285d2f7f385
uuid:6f1ab240-fcb8-406b-ada1-0285d2f7f385

Subject:

monoidal Hom-Hopf algebra, separable functors, Maschke type theorem, total integral, and relative Hom-Hopf module

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let $(H,\alpha )$ be a monoidal Hom-Hopf algebra and $(A,\beta )$ a right $(H,\alpha )$-Hom-comodule algebra. We first introduce the notion of a relative Hom-Hopf module and prove that the functor $F $ from the category of relative Hom-Hopf modules to the category of right $(A, \beta )$-Hom-modules has a right adjoint. Furthermore, we prove a Maschke type theorem for the category of relative Hom-Hopf modules. In fact, we give necessary and sufficient conditions for the functor that forgets the $(H, \alpha )$-coaction to be separable. This leads to a generalized notion of integrals.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

783-799

Source:

Czechoslovak Mathematical Journal | 2014 Volume:64 | Number:3

Harvested from:

CDK

Metadata only:

false