English

Group corings

Rings and Algebras 2007-05-23 v1

Abstract

We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings. Galois group corings are defined, and a Structure Theorem for the GG-comodules over a Galois group coring is given. We study (graded) Morita contexts associated to a group coring. Our theory is applied to group corings associated to a comodule algebra over a Hopf group coalgebra.

Keywords

Cite

@article{arxiv.math/0701931,
  title  = {Group corings},
  author = {S. Caenepeel and K. Janssen and S. H. Wang},
  journal= {arXiv preprint arXiv:math/0701931},
  year   = {2007}
}

Comments

38 pages