Group corings

2007/01/31 by S. Caenepeel, K. Janssen, Caenepeel, S. +3
Mathematics · #16W30 #16W50 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16W30 #msc:16W50

paper · pdf · doi:10.48550/arxiv.math/0701931

38 pages

arxiv created 2007/01/31 · arxiv updated 2009/12/01

Abstract

We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings. Galois group corings are defined, and a Structure Theorem for the G-comodules over a Galois group coring is given. We study (graded) Morita contexts associated to a group coring. Our theory is applied to group corings associated to a comodule algebra over a Hopf group coalgebra.

Related

• The Picard Group of Corings
• Galois functors and entwining structures
• Equivalences between categories of modules and categories of comodules
• Comonads and Galois corings
• Adjoint and Frobenius Pairs of Functors for Corings