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arXiv · 0909.1486

On the braiding of an Ann-category

Nguyen Tien Quang·Dang Dinh hanh
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Abstract

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.

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BibTeXRIS

Nguyen Tien Quang, Dang Dinh hanh. 2009-09-08. On the braiding of an Ann-category. https://doi.org/10.1142/s1793557110000507

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