Internal bialgebroids, entwining structures and corings
Abstract
The internal bialgebroid -- in a symmetric monoidal category with coequalizers -- is defined. The axioms are formulated in terms of internal entwining structures and alternatively, in terms of internal corings. The Galois property of the coring in question is related to the ×R-Hopf algebra property. The language of entwining structures is used to discuss duality.
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