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On coseparable and biseparable corings

Tomasz Brzezinski·Lars Kadison·Robert Wisbauer
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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.

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Tomasz Brzezinski, Lars Kadison, Robert Wisbauer. 2002-08-15. On coseparable and biseparable corings. https://arxiv.org/abs/math/0208122

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