Duals of Ann-categories

Details Duals of Ann-categories Duals of Ann-categories

2010-09-04

arxiv.org/abs/1009.0803v1

Mathematics

Category Theory

15 pages

Scientific paper

Dual monoidal category $\mathcal C^\ast$ of a monoidal functor $F:\mathcal C\to \mathcal V$ has been constructed by S. Majid. In this paper, we extend the construction of dual structures for an Ann-functor $F:\mathcal B\to \mathcal A$. In particular, when $F=id_{\mathcal A}$, then the dual category $\mathcal A^{\ast}$ is indeed the center of $\mathcal A$ and this is a braided Ann-category.

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