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Preprint . 2007
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Article . 2008
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Applied Categorical Structures
Article . 2007 . Peer-reviewed
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Claim

Group Corings

Group corings.
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 17 Jul 2007Embargo end date: 01 Jan 2007 Belgium English Publisher:Springer Science and Business Media LLCJournal:Applied Categorical Structures, volume 16, pages 65-96 (issn: 0927-2852, eissn: 1572-9095, Copyright policy )
Authors: Caenepeel, Stefaan; Janssen, Kris; Wang, Shuanhong;

doi: 10.1007/s10485-007-9100-9 , 10.48550/arxiv.math/0701931

arXiv: math/0701931

handle: 20.500.14017/3b37dbdb-dce8-4124-9499-08188b376555

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.

38 pages

Country
Belgium
Related Organizations
Keywords

comodule algebras, Hopf algebras and their applications, graded Morita contexts, Graded rings and modules (associative rings and algebras), 16W30, 16W50, Galois group corings, Mathematics - Rings and Algebras, graded rings, Module categories in associative algebras, categories of comodules, Rings and Algebras (math.RA), FOS: Mathematics, Coalgebras and comodules; corings, Hopf-Galois extensions, group coalgebras, coring

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Average
Green
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