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,
Last revised on August 4, 2010 at 18:34:08. See the history of this page for a list of all contributions to it.