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Internal bialgebroids, entwining structures and corings

Gabriella Böhm
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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 $\times_R$-Hopf algebra property. The language of entwining structures is used to discuss duality.

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Gabriella Böhm. 2003-11-14. Internal bialgebroids, entwining structures and corings. https://arxiv.org/abs/math/0311244

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