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Group Corings and (Invertible) Weak Group Entwining Structures

The notions of a "weak group entwining structure" and an "invertible weak group entwining structure" are introduced. Furthermore, the relationship between them and group corings is also investigated. It turns out that (weak) group entwining structures and (weak) group entwined mo...

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Bibliographic Details
Published in:Communications in algebra 2008-10, Vol.36 (10), p.3820-3841
Main Authors: Fang, Xiao-Li, Lu, Di-Ming
Format: Article
Language:English
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Summary:The notions of a "weak group entwining structure" and an "invertible weak group entwining structure" are introduced. Furthermore, the relationship between them and group corings is also investigated. It turns out that (weak) group entwining structures and (weak) group entwined modules can be viewed as group corings and comodules over group corings, respectively, which generalizes the recent work of Brzeziński ( 2002 ) and Brzeziński et al. ( 2006 ).
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870802160800