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Webster 1913 Edition
Commutative
Com-mut′a-tive
,Adj.
[CF. F.
commutatif
.] 1.
Relative to exchange; interchangeable; reciprocal.
– Com-mut′a-tive′ly
, adv.
Rich traders, from their success, are presumed . . . to have cultivated an habitual regard to
commutative
justice. Burke.
Webster 1828 Edition
Commutative
COMMUTATIVE
,Adj.
To cultivate an habitual regard to commutative justice.
Definition 2024
commutative
commutative
English
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.
Synonyms
Translations
mathematics: such that order of operands does not affect result
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algebra: having a commutative operation
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