%0 Journal Article
%T On the braiding of an Ann-category
%A Nguyen Tien Quang
%A Dang Dinh hanh
%J Mathematics
%D 2009
%I arXiv
%R 10.1142/S1793557110000507
%X A braided Ann-category $\A$ is an Ann-category $\A$ together with the braiding $c$ such that $(\A, \otimes, a, c, (I,l,r))$ is a braided tensor category, and $c$ is compatible with the distributivity constraints. The paper shows the dependence of the left (or right) distributivity constraint on other axioms. Hence, the paper shows the relation to the concepts of {\it distributivity category} due to M. L. Laplaza and {\it ring-like category} due to A. Frohlich and C.T.C Wall. The center construction of an almost strict Ann-category is an example of an unsymmetric braided Ann-category.
%U http://arxiv.org/abs/0909.1486v1