English

The structure of corings with a grouplike element

Rings and Algebras 2007-05-23 v2 Commutative Algebra

Abstract

Characteristic properties of corings with a grouplike element are analysed. Associated differential graded rings are studied. A correspondence between categories of comodules and flat connections is established. A generalisation of the Cuntz-Quillen theorem relating existence of connections in a module to projectivity of this module is proven.

Keywords

Cite

@article{arxiv.math/0108117,
  title  = {The structure of corings with a grouplike element},
  author = {Tomasz Brzezinski},
  journal= {arXiv preprint arXiv:math/0108117},
  year   = {2007}
}

Comments

14 pages, LaTeX, uses diagrams.tex Version to appear in Banach Center Publications

R2 v1 2026-07-22T16:40:01.281Z