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Distributive


A multiplication * is said to be right distributive if

 (x+y)z=xz+yz

for every x, y, and z. Similarly, it is said to be left distributive if

 z(x+y)=zx+zy

for every x, y, and z.

If a multiplication is both right- and left-distributive, it is simply said to be distributive. For example, the real numbers R are distributive.


See also

Associative, Commutative, Transitive Explore this topic in the MathWorld classroom

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References

Schafer, R. D. An Introduction to Nonassociative Algebras. New York: Dover, p. 1, 1996.

Referenced on Wolfram|Alpha

Distributive

Cite this as:

Weisstein, Eric W. "Distributive." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Distributive.html

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