On Galois corings
R Wisbauer - Hopf algebras in noncommutative geometry and …, 2019 - taylorfrancis.com
For a long period the theory of modules over rings on the one hand and comodules and
Hopf modules for coalgebras and bialgebras on the other side developed quite …
Hopf modules for coalgebras and bialgebras on the other side developed quite …
Morita contexts for corings and equivalences
J Abuhlail - Hopf algebras in noncommutative geometry and …, 2019 - taylorfrancis.com
In this note we study Morita contexts and Galois extensions for corings. For a coring C
https://s3-euw1-ap-pe-df-pch-content-public-p. s3. eu-west-1. amazonaws …
https://s3-euw1-ap-pe-df-pch-content-public-p. s3. eu-west-1. amazonaws …
Infinite comatrix corings
L El Kaoutit, J Gómez-Torrecillas - International Mathematics …, 2004 - ieeexplore.ieee.org
We characterize the corings whose category of comodules has a generating set of small
projective comodules in terms of the (noncommutative) descent theory. In order to extricate …
projective comodules in terms of the (noncommutative) descent theory. In order to extricate …
Comatrix corings and Galois comodules over firm rings
J Gómez-Torrecillas, J Vercruysse - Algebras and representation theory, 2007 - Springer
We construct comatrix corings on bimodules without finiteness conditions by using firm rings.
This leads to the formulion of a notion of Galois coring which plays a key role in the …
This leads to the formulion of a notion of Galois coring which plays a key role in the …
Strong connections and the relative Chern-Galoischaracter for corings
G Böhm, T Brzeziński - International Mathematics Research …, 2005 - ieeexplore.ieee.org
The Chern-Galois theory is developed for corings or coalgebras over noncommutative rings.
First the notion of an entwined extension as an extension of algebras within a bijective …
First the notion of an entwined extension as an extension of algebras within a bijective …
Galois extensions as functors of comodules
KH Ulbrich - manuscripta mathematica, 1987 - Springer
Galois extensions as functors of comodules Page 1 manuscripta math. 59, 391 397 (1987)
manuscripta mathemati ca @ Springcr-Verlag 1987 GALOIS EXTENSIONS AS FUNCTORS OF …
manuscripta mathemati ca @ Springcr-Verlag 1987 GALOIS EXTENSIONS AS FUNCTORS OF …
[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-) …
Rationality properties for Morita contexts associated to corings
S Caenepeel, J Vercruysse, S Wang - Hopf algebras in …, 2019 - taylorfrancis.com
Given an A-coring C https://s3-euw1-ap-pe-df-pch-content-public-p. s3. eu-west-1.
amazonaws. com/9780429187629/ac445a68-1635-4dfb-97a7-7653d5efb83a/content …
amazonaws. com/9780429187629/ac445a68-1635-4dfb-97a7-7653d5efb83a/content …
Finitary Galois extensions over noncommutative bases
I Bálint, K Szlachányi - Journal of Algebra, 2006 - Elsevier
We study Galois extensions M (co-) H⊂ M for H-(co) module algebras M if H is a Frobenius
Hopf algebroid. The relation between the action and coaction pictures is analogous to that …
Hopf algebroid. The relation between the action and coaction pictures is analogous to that …
Yetter-Drinfeld modules and Galois extensions over coquasi-Hopf algebras
A Balan - UPB Sci. Bull. Ser. A, 2009 - scientificbulletin.upb.ro
In this paper we define Yetter-Drinfeld modules over a coquasi-bialgebra and prove that the
category of Yetter. Drinfeld modules is monoidal, pre. braided and coincides with the left …
category of Yetter. Drinfeld modules is monoidal, pre. braided and coincides with the left …