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math.QA2003
Internal bialgebroids, entwining structures and corings
Gabriella Böhm
The internal bialgebroid -- in a symmetric monoidal category with coequalizers -- is defined. The axioms are formulated in terms of internal entwining structures and alternatively,…
math.QA2003★ 4 cited
Hopf algebroids with bijective antipodes: axioms, integrals and duals
Gabriella B"ohm, Korn'el Szlach'anyi
Motivated by the study of depth 2 Frobenius extensions we introduce a new notion of Hopf algebroid. It is a 2-sided bialgebroid with a bijective antipode which connects the two, le…
math.QA2003
An alternative notion of Hopf algebroid
Gabriella B"ohm
In [1] a new notion of Hopf algebroid has been introduced. It was shown to be inequivalent to the structure introduced under the same name in [17]. We review this new notion of Hop…