commutative

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commutative

Where it comes from

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

adjective

not comparable, of a binary operation 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.
not comparable, of an algebraic structure Having a commutative operation.
Similar: abelian, Abelian
not comparable, of a diagram of morphisms Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
not comparable Relating to exchange; interchangeable.

Opposite: anticommutative

Thesaurus

adjective

Opposite: anticommutative

Translations

Every language

adj mathematics: such that order of operands does not affect result

中文	可交換的 /可交换的
हिन्दी	विनिमेय vinimey
Português	comutativo
Français	commutatif
Deutsch	kommutativ
Italiano	commutativo
Ελληνικά	αντιμεταθετικός antimetathetikós
Română	comutativ
Русский	коммутативный kommutativnyj, перестановочный perestanovočnyj

adj algebra: having a commutative operation

中文	可交換的 /可交换的
Português	comutativo
Deutsch	kommutativ
Română	comutativ

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MLA

"commutative." Wiktionary, via Micwyn, micwyn.com/word/commutative. Accessed 6 Nov. 2026.

APA

commutative. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/commutative

Chicago

"commutative." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/commutative.

BibTeX

@misc{commutative_2026,
  title = {commutative},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/commutative},
  urldate = {2026-11-06}
}