The structure of corings with a grouplike element

Tomasz Brzeziński

Banach Center Publications (2003)

  • Volume: 61, Issue: 1, page 21-35
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Tomasz Brzeziński. "The structure of corings with a grouplike element." Banach Center Publications 61.1 (2003): 21-35. <http://eudml.org/doc/281987>.

@article{TomaszBrzeziński2003,
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.},
author = {Tomasz Brzeziński},
journal = {Banach Center Publications},
keywords = {corings; grouplike elements; differential graded rings; categories of comodules; flat connections },
language = {eng},
number = {1},
pages = {21-35},
title = {The structure of corings with a grouplike element},
url = {http://eudml.org/doc/281987},
volume = {61},
year = {2003},
}

TY - JOUR
AU - Tomasz Brzeziński
TI - The structure of corings with a grouplike element
JO - Banach Center Publications
PY - 2003
VL - 61
IS - 1
SP - 21
EP - 35
AB - 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.
LA - eng
KW - corings; grouplike elements; differential graded rings; categories of comodules; flat connections
UR - http://eudml.org/doc/281987
ER -

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