A strict tensor category is a tensor category 
in which the morphisms 
, 
, 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
tom Dieck, T. "Quantum Groups and Knot Algebra." May 4, 2004. https://www.uni-math.gwdg.de/tammo/dm.pdf.Referenced on Wolfram|Alpha
Strict Tensor CategoryCite this as:
Weisstein, Eric W., with contributions by Christopher Stover. "Strict Tensor Category." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/StrictTensorCategory.html