An R-module 
is said to be unital if 
is a commutative ring
with multiplicative identity 
and if 
for all elements 
.
Unital R-Module
See also
Category, Category Theory, Functor, Hom-Set, Morphism, Natural Transformation, Natural Isomorphism, Object, R-Module, Strict Tensor Category, Tensor R-Category, Unital Natural TransformationThis entry contributed by Christopher Stover
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References
Dummit, D. S. and Foote, R. M. "Introduction to Module Theory." Ch. 10 in Abstract Algebra, 3rd ed. Hoboken, NJ: Wiley, pp. 337-407, 2004.Referenced on Wolfram|Alpha
Unital R-ModuleCite this as:
Stover, Christopher. "Unital R-Module." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/UnitalR-Module.html