The fundamental theorem and Maschke's theorem in the category of relative Hom-Hopf modules

Yuanyuan Chen, Zhongwei Wang, and Liangyun Zhang. "The fundamental theorem and Maschke's theorem in the category of relative Hom-Hopf modules." Colloquium Mathematicae 144.1 (2016): 55-71. <http://eudml.org/doc/283715>.

@article{YuanyuanChen2016,
abstract = {We introduce the concept of relative Hom-Hopf modules and investigate their structure in a monoidal category $̃ (ℳ_\{k\})$. 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.},
author = {Yuanyuan Chen, Zhongwei Wang, Liangyun Zhang},
journal = {Colloquium Mathematicae},
keywords = {monoidal Hom-Hopf algebras; relative Hom-Hopf modules; (generalized) total Hom-integrals; fundamental theorem; Maschke's theorem},
language = {eng},
number = {1},
pages = {55-71},
title = {The fundamental theorem and Maschke's theorem in the category of relative Hom-Hopf modules},
url = {http://eudml.org/doc/283715},
volume = {144},
year = {2016},
}

TY - JOUR
AU - Yuanyuan Chen
AU - Zhongwei Wang
AU - Liangyun Zhang
TI - The fundamental theorem and Maschke's theorem in the category of relative Hom-Hopf modules
JO - Colloquium Mathematicae
PY - 2016
VL - 144
IS - 1
SP - 55
EP - 71
AB - We introduce the concept of relative Hom-Hopf modules and investigate their structure in a monoidal category $̃ (ℳ_{k})$. 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.
LA - eng
KW - monoidal Hom-Hopf algebras; relative Hom-Hopf modules; (generalized) total Hom-integrals; fundamental theorem; Maschke's theorem
UR - http://eudml.org/doc/283715
ER -