Quasi-co-Frobenius corings as Galois comodules

Details Quasi-co-Frobenius corings as Galois comodules Quasi-co-Frobenius corings as Galois comodules

2008-06-09

arxiv.org/abs/0806.1423v2

Mathematics

Rings and Algebras

23 pages

Scientific paper

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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