Heavily Separable Cowreaths
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DOI: 10.1016/j.jalgebra.2021.05.003
Abstract: Abstract Motivated by an example related to the tensor algebra, a stronger version of the notion of separable functor, called heavily separable (h-separable for short), was introduced and investigated in [1] . Here we study… read more here.
Keywords: category; monoidal category; heavily separable; separable cowreaths ... See more keywords
Freely adjoining monoidal duals
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DOI: 10.1017/s0960129520000274
Abstract: Abstract Given a monoidal category $\mathcal C$ with an object J, we construct a monoidal category $\mathcal C[{J^ \vee }]$ by freely adjoining a right dual ${J^ \vee }$ to J. We show that the… read more here.
Keywords: freely adjoining; category; omega mathcal; monoidal category ... 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