commutative

commutative adjective: such that the order in which the operands are taken does not affect their image under the operation.

Adjective

commutative (not comparable)

Such that the order in which the operands are taken does not affect their image under the operation.
- Addition on the real numbers is commutative because for any real numbers s,t, it is true that s#43;t#61;t#43;s.
- Addition and multiplication are commutative operations but subtraction and division are not.
Having a commutative operation.

Synonyms:

abelian
Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
Relating to exchange; interchangeable.

mathematics: such that order of operands does not affect result: विनिमेय vinimey

The real numbers can be extended to a wheel, as can any commutative ring.
Since the AND logical operator is commutative, associative, and idempotent, it distributes with respect to itself.
Abstractly, additive number theory includes the study of abelian groups and commutative semigroups with an addition operation.

From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.

What does commutative mean?: Commutative means such that the order in which the operands are taken does not affect their image under the operation.
What is commutative in Hindi?: Commutative in Hindi is विनिमेय (vinimey). See Commutative meaning in Hindi.
What part of speech is commutative?: Commutative is an adjective.

Adapted from Wiktionary: commutative (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated: 2026-09-02

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Cite this entry: “commutative.” Word.ws, https://word.ws/commutative. Based on Wiktionary, CC BY-SA 4.0.