commutative
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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References edit
- commutative property on Wikipedia.Wikipedia
French edit
Adjective edit
commutative
Italian edit
Adjective edit
commutative