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Quasi-co-Frobenius corings as Galois comodules

2008/06/09 by Joost Vercruysse, Vercruysse, Joost
Mathematics · #16D90 #16L60 #16W30 #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16D90 #msc:16L60 #msc:16W30

paper · pdf · doi:10.48550/arxiv.0806.1423

23 pages

arxiv created 2008/06/09 · openalex publication_date 2008/06/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compare several quasi-Frobenius-type properties for corings that appeared recently in literature and provide several new characterizations for each of these properties. By applying the theory of Galois comodules with a firm coinvariant ring, we can characterize a locally quasi-Frobenius (quasi-co-Frobenius) coring as a locally projective generator in its category of comodules.

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