Corings with decomposition and semiperfect corings

Details Corings with decomposition and semiperfect corings Corings with decomposition and semiperfect corings

2009-02-13

arxiv.org/abs/0902.2273v1

Mathematics

Rings and Algebras

Scientific paper

We give a characterization, in terms of Galois infinite comatrix corings, of the corings that decompose as a direct sum of left comodules which are finitely generated as left modules. Then we show that the associated rational functor is exact. This is the case of a right semiperfect coring which is locally projective and whose Galois comodule is a projective left unital module with superfluous radical.

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