Comatrix Corings and Galois Comodules over Firm Rings

2005/09/05 by J. Gomez-Torrecillas, J. Vercruysse, Gomez-Torrecillas, J. +1
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.math/0509106

arxiv created 2005/09/05 · arxiv updated 2009/12/01

Abstract

We give a notion of a comatrix coring which embodies all former constructions and, what is more interesting, leads to the formulation of a notion of Galois coring and the statement of a Faithfully Flat Descent Theorem that generalize the previous versions.

Related

• Comatrix corings: Galois corings, Descent Theory, and a Structure Theorem for Cosemisimple corings
• Comonads and Galois corings
• Galois theory for comatrix corings: descent theory, Morita theory, Frobenius and separability properties
• Infinite Comatrix Corings
• Galois corings from the descent theory point of view