# Duals of Ann-categories - Mathematics > Category Theory

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

Author: Nguyen Tien Quang, Dang Dinh Hanh

Source: https://arxiv.org/