English

Corings over rings with local units

Rings and Algebras 2009-04-27 v3

Abstract

We show that the category of corings over a fixed base ring with local units is equivalent to the category of comonads in (right) unital modules whose underlying functors preserve inductive limits. Changing base rings, we prove a bi-equivalence of bicategories. A base ring extension of corings by adjunctions is also introduced.

Keywords

Cite

@article{arxiv.math/0512655,
  title  = {Corings over rings with local units},
  author = {L. El Kaoutit},
  journal= {arXiv preprint arXiv:math/0512655},
  year   = {2009}
}