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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc61-0-2,
author = {Tomasz Brzezi\'nski},
title = {The structure of corings with a grouplike element},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {21-35},
zbl = {1066.16034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc61-0-2}
}
Tomasz Brzeziński. The structure of corings with a grouplike element. Banach Center Publications, Tome 60 (2003) pp. 21-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc61-0-2/