A+ CATEGORY SCIENTIFIC UNIT

The structure of corings with a grouplike element

Volume 61 / 2003

Tomasz Brzeziński Banach Center Publications 61 (2003), 21-35 MSC: 16W30, 13B02. DOI: 10.4064/bc61-0-2

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.

Authors

  • Tomasz BrzezińskiDepartment of Mathematics
    University of Wales Swansea
    Singleton Park
    Swansea SA2 8PP, U.K.
    e-mail

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