Equivalences between categories of modules and categories of comodules

Details Equivalences between categories of modules and categories of comodules Equivalences between categories of modules and categories of comodules

2006-04-19

arxiv.org/abs/math/0604423v2

Mathematics

Rings and Algebras

19 pages, some corrections and additions to version 1

Scientific paper

We show the close connection between appearingly different Galois theories for comodules introduced recently in [J. G\'omez-Torrecillas and J. Vercruysse, Comatrix corings and Galois Comodules over firm rings, arXiv:math.RA/0509106.] and [R. Wisbauer, On Galois comodules (2004), to appear in Comm. Algebra.]. Furthermore we study equivalences between categories of comodules over a coring and modules over a firm ring. We show that these equivalences are related to Galois theory for comodules.

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