Adjoint and Frobenius Pairs of Functors for Corings
Rings and Algebras
2007-05-23 v2
Abstract
We investigate adjoint and Frobenius pairs between categories of comodules over rather general corings. We particularize to the case of the adjoint pair of functors associated to a morphism of corings over different base rings, which leads to a reasonable notion of Frobenius coring extension. When applied to corings stemming from entwining structures, we obtain new results in this setting and in graded ring theory.
Keywords
Cite
@article{arxiv.math/0505478,
title = {Adjoint and Frobenius Pairs of Functors for Corings},
author = {M. Zarouali-Darkaoui},
journal= {arXiv preprint arXiv:math/0505478},
year = {2007}
}