Frobenius and Mashke type Theorems for Doi-Hopf modules and entwined modules revisited: a unified approach
Rings and Algebras
2007-05-23 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.math/0003198,
title = {Frobenius and Mashke type Theorems for Doi-Hopf modules and entwined modules revisited: a unified approach},
author = {Tomasz Brzezinski and S. Caenepeel and G. Militaru and Shenglin Zhu},
journal= {arXiv preprint arXiv:math/0003198},
year = {2007}
}
Comments
28 pages, LaTeX; Contribution to the proceedings of the ``Fifth week on algebra and geometry (SAGA5)'', Leon, Spain 1999