@Article{CMR-28-289, author = {Chen , Quanguo and Tang , Jiangang}, title = {A Maschke Type Theorem for Doi-Hopf $π$-Modules}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {28}, number = {4}, pages = {289--299}, abstract = {

We prove a Maschke type theorem for Doi-Hopf $π$-modules. A sufficient condition for having a Maschke type property is that there exists a suitable total integral map for the Doi-Hopf $π$-modules in question. The applications of the results are considered. Finally, As an application of the existence of total integral, we prove that $\mathop ⊕ \limits_{α∈π} C_α ⊗ A$ is a generator in the category $^{π-C} U(H)A$.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19032.html} }