commutative.
Such that the order in which the operands are taken does not affect their image under the operation.
Meaning & usage
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.
Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
Relating to exchange; interchangeable.
Where this word comes from
From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.