On comatrix corings and bimodules
Rings and Algebras
2007-05-23 v1
Abstract
To any bimodule which is finitely generated and projective on one side one can associate a coring, known as a comatrix coring. A new description of comatrix corings in terms of data reminiscent of a Morita context is given. It is also studied how properties of bimodules are reflected in the associated comatrix corings. In particular it is shown that separable bimodules give rise to coseparable comatrix corings, while Frobenius bimodules induce Frobenius comatrix corings.
Cite
@article{arxiv.math/0301345,
title = {On comatrix corings and bimodules},
author = {Tomasz Brzezinski and Jose Gomez-Torrecillas},
journal= {arXiv preprint arXiv:math/0301345},
year = {2007}
}
Comments
13 pages, LaTeX