A multiplication is said to be right distributive if
for every , , and . Similarly, it is said to be left distributive if
for every , , and .
If a multiplication is both right- and left-distributive, it is simply said to be distributive. For example, the real numbers are distributive.
See alsoAssociative,
Commutative,
Transitive Explore this topic in the MathWorld classroom Explore with Wolfram|AlphaMore things to try:
ReferencesSchafer, R. D. An Introduction to Nonassociative Algebras. New York: Dover, p. 1, 1996. Referenced on Wolfram|AlphaDistributive Cite this as:Weisstein, Eric W. "Distributive." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Distributive.html
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