Comatrix corings: Galois corings, Descent Theory, and a Structure Theorem for Cosemisimple corings

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In order to extrincate the structure of corings with a finitely generated and projective generator we give the notion of a comatrix coring. As consequences we give generalizations of the main characterizations of faithfully flat Galois corings and extensions which work for corings without grouplike elements, as well as a generalization of the Descent Theorem. We provide also a complete description of all cosemisimple corings. No restrictions are made over the ground noncommutative ring.
19 pages

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Rings and Algebras, 16

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http://salesiana.dossiersoluciones.com/handle/123456789/64564

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207205
 http://arxiv.org/abs/math/0207205

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arXiv