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A symmetric monoidal category is a monoidal category which is commutative up to a natural isomorphism. Formally, it is a braided monoidal category whose braiding satisfies

\gamma_{B,A}\gamma_{A,B}=1_{A\otimes B}
for every objects A and B.

Monoidal categories

 

This article is licensed under the GNU Free Documentation License. It uses material from the "Symmetric monoidal category".

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