A tensor category 
is strict if the maps 
, 
, and 
are always identities.
A related notion is that of a tensor R-category.
Strict Tensor Category
See also
Category, Category Theory, Functor, Morphism, Natural Isomorphism, Natural Transformation, Object, Unital Natural TransformationThis entry contributed by Christopher Stover
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References
Dieck, T. T. "Quantum Groups and Knot Algebra." 2000. http://www.uni-math.gwdg.de/tammo/dm.pdf.Cite this as:
Stover, Christopher. "Strict Tensor Category." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/StrictTensorCategory.html