Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings

By L. Kaoutit, J. Gómez-Torrecillas. 2002

80 citations recorded by the source corpus.

Abstract.We study the corings whose category of right comodules has a finitely generated projective generator. In order to extricate the structure of these corings, we introduce the notion of comatrix coring. Comatrix corings allow as well to give a complete description of all cosemisimple corings.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7aad83a5d57364dc6c096b042c029884531599e5

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In Algebra and Number Theory

1. Erwin de Groot
2. Stefaan Caenepeel
3. Joost Vercruysse
4. Marcelo Muniz Silva Alves
5. Eliezer Batista

In Geometry and Topology

1. Erwin de Groot
2. Stefaan Caenepeel
3. Joost Vercruysse
4. Marcelo Muniz Silva Alves
5. Eliezer Batista

Citations in the corpus

• Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties (2004, background): “In [ 23 ], El Kaoutit and G´omez Torrecillas look at a more general version of the descent problem: in the classical situation, we take a ring morphism B ! A, and try to descend modules defined over A to modules defined over B. This theory can be generalized to the situation where A and B are connec”