Journal article
Frobenius Extensions of Corings
Communications in Algebra, Vol.36(3), pp.869-892
03/07/2008
DOI: 10.1080/00927870701776656
Abstract
Let and be two corings over a ring A and be a morphism of corings. We investigate the situation when the associated induced ("corestriction of scalars") functor ℳ → ℳ is a Frobenius functor, and call these morphisms Frobenius extensions of corings. The characterization theorem generalizes notions such as Frobenius corings and is applied to several situations; in particular, provided some (general enough) flatness conditions hold, the notion proves to be dual to that of Frobenius extensions of rings (algebras). Several finiteness theorems are given for each case we consider; these theorems extend existing results from Frobenius extensions of rings or from Frobenius corings, showing that a certain finiteness property almost always occur for many instances of Frobenius functors.
Details
- Title: Subtitle
- Frobenius Extensions of Corings
- Creators
- Miodrag Cristian Iovanov - SUNY-Buffalo
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.36(3), pp.869-892
- DOI
- 10.1080/00927870701776656
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Publisher
- Taylor & Francis Group
- Language
- English
- Date published
- 03/07/2008
- Academic Unit
- Mathematics
- Record Identifier
- 9983985962202771
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