nLab
symmetric monoidal natural transformation

A symmetric monoidal natural transformation is a natural transformation between symmetric monoidal functors that respects the symmetric monoidal structure.

In fact, a symmetric monoidal natural transformation is the same as a monoidal natural transformation (as long as it goes between symmetric monoidal functors).

See, for example,

Revised on August 4, 2010 18:34:08 by Toby Bartels (173.190.157.132)