commutative
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English
[edit]Etymology
[edit]From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.
Adjective
[edit]commutative (not comparable)
- (mathematics, 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 , it is true that .
- Addition and multiplication are commutative operations but subtraction and division are not.
- (algebra, of an algebraic structure) Having a commutative operation.
- (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.
- Relating to exchange; interchangeable.
Synonyms
[edit]Antonyms
[edit]Derived terms
[edit]Related terms
[edit]Translations
[edit]mathematics: such that order of operands does not affect result
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algebra: having a commutative operation
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- The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.
Translations to be checked
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References
[edit]commutative property on Wikipedia.Wikipedia
French
[edit]Adjective
[edit]commutative
Italian
[edit]Adjective
[edit]commutative