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arXiv · 1212.1018

On Hopf monoids in duoidal categories

Gabriella Böhm·Yuanyuan Chen·Liangyun Zhang
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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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BibTeXRIS

Gabriella Böhm, Yuanyuan Chen, Liangyun Zhang. 2013-07-17. On Hopf monoids in duoidal categories. https://arxiv.org/abs/1212.1018

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