Associations to the word «Commutative»

Wiktionary

COMMUTATIVE, adjective. (mathematics) (of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.
COMMUTATIVE, adjective. (algebra) (of an algebraic structure) Having a commutative operation.
COMMUTATIVE, adjective. (mathematics) (of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
COMMUTATIVE ALGEBRA, noun. (mathematics) Any algebra in which multiplication is commutative.
COMMUTATIVE JUSTICE, noun. (legal) The state resulting from fair and free exchange.
COMMUTATIVE RING, noun. (algebra) (ring theory) A ring whose multiplicative operation is commutative.

Dictionary definition

COMMUTATIVE, adjective. (of a binary operation) independent of order; as in e.g. "a x b = b x a".

Wise words

Language is a process of free creation; its laws and principles are fixed, but the manner in which the principles of generation are used is free and infinitely varied. Even the interpretation and use of words involves a process of free creation.
Noam Chomsky