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

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

2000-03-29

arxiv.org/abs/math/0003198v1

Mathematics

Rings and Algebras

28 pages, LaTeX; Contribution to the proceedings of the ``Fifth week on algebra and geometry (SAGA5)'', Leon, Spain 1999

Scientific paper

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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