English

Frobenius functors for corings

Rings and Algebras 2007-05-23 v1

Abstract

We investigate 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.

Keywords

Cite

@article{arxiv.math/0410626,
  title  = {Frobenius functors for corings},
  author = {J. Gomez-Torrecillas and M. Zarouali Darkaoui},
  journal= {arXiv preprint arXiv:math/0410626},
  year   = {2007}
}