The fundamental theorem and Maschke’s theorem in the category of relative Hom-Hopf modules
Volume 144 / 2016
Colloquium Mathematicum 144 (2016), 55-71
MSC: 16T05, 16T25, 17A30.
DOI: 10.4064/cm6514-11-2015
Published online: 17 February 2016
Abstract
We introduce the concept of relative Hom-Hopf modules and investigate their structure in a monoidal category $\widetilde{\mathcal{H}}(\mathcal{M}_{k})$. More particularly, the fundamental theorem for relative Hom-Hopf modules is proved under the assumption that the Hom-comodule algebra is cleft. Moreover, Maschke’s theorem for relative Hom-Hopf modules is established when there is a multiplicative total Hom-integral.
