R-Category

An -category, for a commutative ring , is a category whose hom-sets are R-modules and whose composition maps are -bilinear (tom Dieck 2004, p. 10).

See also

Category, Category Theory, Functor, Hom-Set, Morphism, Natural Isomorphism, Natural Transformation, Object, R-Module, Strict Tensor Category, Tensor R-Category, Unital Natural Transformation

Portions of this 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.

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Cite this as:

Weisstein, Eric W., with contributions by Christopher Stover. "R-Category." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/R-Category.html

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