English

A note on coring extensions

Rings and Algebras 2008-07-31 v3 Category Theory

Abstract

A notion of a coring extension is defined and it is related to the existence of an additive functor between comodule categories that factorises through forgetful functors. This correspondence between coring extensions and factorisable functors is illustrated by functors between categories of descent data. A category in which objects are corings and morphisms are coring extensions is also introduced.

Keywords

Cite

@article{arxiv.math/0410020,
  title  = {A note on coring extensions},
  author = {Tomasz Brzezinski},
  journal= {arXiv preprint arXiv:math/0410020},
  year   = {2008}
}

Comments

The statement of the main result, Theorem 2.6, is corrected. Readers who used Theorem 2.6 in its original form are strongly advised to see this revised version