Hello, you have come here looking for the meaning of the word
commutative. In DICTIOUS you will not only get to know all the dictionary meanings for the word
commutative, but we will also tell you about its etymology, its characteristics and you will know how to say
commutative in singular and plural. Everything you need to know about the word
commutative you have here. The definition of the word
commutative will help you to be more precise and correct when speaking or writing your texts. Knowing the definition of
commutative, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
English
Etymology
From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.
Pronunciation
Adjective
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
Antonyms
Derived terms
Translations
mathematics: such that order of operands does not affect result
algebra: having a commutative operation
Translations to be checked
References
French
Adjective
commutative
- feminine singular of commutatif
Italian
Adjective
commutative
- feminine plural of commutativo