Morita theory for comodules over corings
G Böhm, J Vercruysse - Communications in Algebra®, 2009 - Taylor & Francis
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 …
equivalence between appropriate subcategories of the module categories of the two rings in …
Comodules over semiperfect corings
S Caenepeel, M Iovanov - arXiv preprint arXiv:1109.3044, 2011 - arxiv.org
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 …
COMODULES OVER SEMIPERFECT CORINGS S. CAENEPEEL AND M. IOVANOV Abstract …
Adjoint and Frobenius pairs of functors for corings
M Zarouali-Darkaoui - Communications in Algebra®, 2007 - Taylor & Francis
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 …
general corings. We particularize to the case of the adjoint pair of functors associated to a …
Comodules and corings
T Brzeziński - Handbook of algebra, 2009 - Elsevier
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 …
ring (but also a ring itself can be viewed as a coring). The notion of a coring appeared first in …
[PDF][PDF] Galois theory for corings and comodules
J Vercruysse - 2007 - Citeseer
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 …
The thesis was defended on March 9, 2007 at the Vrije Universiteit Brussel (Free University …
[HTML][HTML] Co-Frobenius corings and adjoint functors
MC Iovanov, J Vercruysse - Journal of pure and applied algebra, 2008 - Elsevier
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 …
rings and over PF base rings in particular. We generalize some results about co-Frobenius …
[PDF][PDF] CoFrobenius corings and related functors
M Iovanov, J Vercruysse - arXiv preprint math.RA/0610853, 2006 - Citeseer
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-) …
baserings and over PF baserings in particular. We generalize some results about (Quasi-) …
[PDF][PDF] Adjoint and Frobenius Pairs of Functors, Equivalences and the Picard Group for Corings
MZ Darkaoui - arXiv preprint math/0703763, 2007 - Citeseer
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 …
categories over corings; 2. to extend the comatrix coring defined in [34, 16] to a quasi-finite …
[PDF][PDF] Adjoint and Frobenius Pairs of Functors, Equivalences, and the Picard Group for Corings
M Zarouali-Darkaoui - arXiv preprint math/0703763, 2007 - arxiv.org
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 …
Equivalences and the Picard Group for Cori Page 1 arXiv:math/0703763v3 [math.RA] 28 Dec …
The representation theory of profinite algebras: Interactions with category theory, algebraic topology and compact groups
MC Iovanov - 2009 - search.proquest.com
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 …
applications, connections and interactions with other fields of mathematics. The thesis …