By a theorem due to Kato and Ohtake, any (not necessarily strict) Morita context induces an
equivalence between appropriate subcategories of the module categories of the two rings in …

arXiv:1109.3044v1 [math.RA] 14 Sep 2011 Page 1 arXiv:1109.3044v1 [math.RA] 14 Sep 2011
COMODULES OVER SEMIPERFECT CORINGS S. CAENEPEEL AND M. IOVANOV Abstract …

We investigate adjoint and Frobenius pairs between categories of comodules over rather
general corings. We particularize to the case of the adjoint pair of functors associated to a …

Publisher Summary A coring is one of the most basic algebraic structures dual to that of a
ring (but also a ring itself can be viewed as a coring). The notion of a coring appeared first in …

This work is written as a PhD thesis under the supervision of Professor Stefaan Caenepeel.
The thesis was defended on March 9, 2007 at the Vrije Universiteit Brussel (Free University …

We study co-Frobenius and more generally quasi-co-Frobenius corings over arbitrary base
rings and over PF base rings in particular. We generalize some results about co-Frobenius …

We study co-Frobenius and more generally Quasi-co-Frobenius corings over arbitrary
baserings and over PF baserings in particular. We generalize some results about (Quasi-) …

The aim of this work is: 1. to study adjoint and Frobenius pairs of functors between comodule
categories over corings; 2. to extend the comatrix coring defined in [34, 16] to a quasi-finite …

arXiv:math/0703763v3 [math.RA] 28 Dec 2007 Adjoint and Frobenius Pairs of Functors,
Equivalences and the Picard Group for Cori Page 1 arXiv:math/0703763v3 [math.RA] 28 Dec …

In the present text, we examine current trends in the theory of profinite algebras, and
applications, connections and interactions with other fields of mathematics. The thesis …