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math.QA2013
Weak bimonoids in duoidal categories
Yuanyuan Chen, Gabriella Böhm
Weak bimonoids in duoidal categories are introduced. They provide a common generalization of bimonoids in duoidal categories and of weak bimonoids in braided monoidal categories. U…
math.QA2012
On Hopf monoids in duoidal categories
Gabriella Böhm, Yuanyuan Chen, Liangyun Zhang
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…