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Unital R-Module


An R-module M is said to be unital if R is a commutative ring with multiplicative identity 1=1_R and if 1m=m for all elements m in M.


See also

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

This entry contributed by Christopher Stover

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References

Dummit, D. S. and Foote, R. M. Abstract Algebra, 3rd Edition. Hoboken, NJ: Wiley., 2003.

Cite this as:

Stover, Christopher. "Unital R-Module." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/UnitalR-Module.html

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