English

On coseparable and biseparable corings

Rings and Algebras 2007-05-23 v1 Commutative Algebra

Abstract

A relationship between coseparable corings and separable non-unital rings is established. In particular it is shown that an A-coring C has an associative A-balanced product. A Morita context is constructed for a coseparable coring with a grouplike element. Biseparable corings are defined, and a conjecture relating them to Frobenius corings is proposed.

Keywords

Cite

@article{arxiv.math/0208122,
  title  = {On coseparable and biseparable corings},
  author = {Tomasz Brzezinski and Lars Kadison and Robert Wisbauer},
  journal= {arXiv preprint arXiv:math/0208122},
  year   = {2007}
}

Comments

17 pages, LaTeX