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Frobenius and Mashke type Theorems for Doi-Hopf modules and entwined modules revisited: a unified approach

Tomasz Brzezinski·S. Caenepeel·G. Militaru·Shenglin Zhu
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Abstract

We study when induction functors (and their adjoints) between categories of Doi-Hopf modules and, more generally, entwined modules are separable, resp. Frobenius. We present a unified approach, leading to new proofs of old results by the authors, as well as to some new ones. Also our methods provide a categorical explanation for the relationship between separability and Frobenius properties.

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Tomasz Brzezinski, S. Caenepeel, G. Militaru, Shenglin Zhu. 2000-03-29. Frobenius and Mashke type Theorems for Doi-Hopf modules and entwined modules revisited: a unified approach. https://arxiv.org/abs/math/0003198

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