Galois theory for comatrix corings: descent theory, Morita theory, Frobenius and separability properties

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dc.creatorCaenepeel, S.
dc.creatorDe Groot, E.
dc.creatorVercruysse, J.
dc.date2004-06-22
dc.date2004-10-19
dc.date.accessioned2026-07-07T05:09:28Z
dc.date.available2026-07-07T05:09:28Z
dc.descriptionEl Kaoutit and Gómez Torrecillas introduced comatrix corings, generalizing Sweedler's canonical coring, and proved a new version of the Faithfully Flat Descent Theorem. They also introduced Galois corings, as corings isomorphic to a comatrix coring. In this paper, we further investigate this theory. We prove a new version of the Joyal-Tierney Descent Theorem, and generalize the Galois Coring Structure Theorem. We associate a Morita context to a coring with a fixed comodule, and relate it to Galois-type properties of the coring. An affineness criterion is proved in the situation where the coring is coseparable. Further properties of the Morita context are studied in the situation where the coring is (co)Frobenius.
dc.description42 pages
dc.identifierhttps://arxiv.org/abs/math/0406436
dc.identifierhttp://arxiv.org/abs/math/0406436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71638
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleGalois theory for comatrix corings: descent theory, Morita theory, Frobenius and separability properties
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