Weak Multiplier Bimonoids
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DOI: 10.1007/s10485-017-9481-3
Abstract: Based on the novel notion of ‘weakly counital fusion morphism’, regular weak multiplier bimonoids in braided monoidal categories are introduced. They generalize weak multiplier bialgebras over fields (Böhm et al. Trans. Amer. Math. Soc. 367,… read more here.
Keywords: category; braided monoidal; regular weak; weak multiplier ... See more keywords
Monoidal Categories Enriched in Braided Monoidal Categories
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DOI: 10.1093/imrn/rnx217
Abstract: We introduce the notion of a monoidal category enriched in a braided monoidal category $\mathcal V$. We set up the basic theory, and prove a classification result in terms of braided oplax monoidal functors to… read more here.
Keywords: enriched braided; braided monoidal; monoidal categories; category mathcal ... See more keywords
The Braided Monoidal Structure on the Category of Comodules of Bimonads
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DOI: 10.1142/s1005386719000427
Abstract: We investigate how the category of comodules of bimonads can be made into a monoidal category. It suffices that the monad and comonad in question are bimonads, with some extra compatibility relatio... read more here.
Keywords: category; comodules bimonads; structure category; braided monoidal ... See more keywords