Internal bialgebroids, entwining structures and corings

Mathematics – Quantum Algebra

Scientific paper

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18 pages, 4 figues

Scientific paper

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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