A Note On Coinduction Functors between Categories of Comodules for Corings
Abstract
In this note we consider different versions of coinduction functors between categories of comodules for corings induced by a morphism of corings. In particular we introduce a new version of the coinduction functor in the case of locally projective corings as a composition of suitable ``Trace'' and ``Hom'' functors and show how to derive it from a more general coinduction functor between categories of type In special cases (e.g. the corings morphism is part of a morphism of measuring -pairings or the corings have the same base ring), a version of our functor is shown to be isomorphic to the usual coinduction functor obtained by means of the cotensor product. Our results in this note generalize previous results of the author on coinduction functors between categories of comodules for coalgebras over commutative base rings.
Cite
@article{arxiv.math/0412561,
title = {A Note On Coinduction Functors between Categories of Comodules for Corings},
author = {Jawad Abuhlail},
journal= {arXiv preprint arXiv:math/0412561},
year = {2007}
}
Comments
20 pages, Joint Proceedings of Ferrara Algebra Workshop & Swansea Workshop on Hopf Algebras (June 2004), to be published as a special issue of the "Annali dell'Universita' di Ferrara, sez. VII, Scienze Matematiche"