On coseparable and biseparable corings

Mathematics – Rings and Algebras

Scientific paper

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17 pages, LaTeX

Scientific paper

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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