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On Hopf monoids in duoidal categories
Published 5 Dec 2012 in math.QA and math.CT | (1212.1018v2)
Abstract: Aguiar and Mahajan's bimonoids A in a duoidal category M are studied. Under certain assumptions on M, the Fundamental Theorem of Hopf Modules is shown to hold for A if and only if the unit of A determines an A-Galois extension. Our findings are applied to the particular examples of small groupoids and of Hopf algebroids over a commutative base algebra.
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