commutative
Collocations
3ADJ.
local, real
COMMUTATIVE + NOUN
division, law, operations, subtraction
PREP.
from
Definitions
adj
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.
Addition and multiplication are commutative operations but subtraction and division are not.
Having a commutative operation.
Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
Relating to exchange; interchangeable.
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Synonyms
Antonyms
Idioms & Phrases
Example Bank
6Addition on the real numbers is commutative because for any real numbers s,t, it is true that s#43;t#61;t#43;s.
WiktionaryAddition and multiplication are commutative operations but subtraction and division are not.
WiktionaryThe associativity of OR and AND is not at all obvious. It is tempting to assume that because OR and AND are commutative that they must be associative also. This is not the case, however, and some comm
WiktionaryIn particular, the endomorphism ring of M is a commutative local ring.
Tatoeba · #387016Multiplication is commutative, division is not.
Tatoeba · #4398712From the commutative law, it follows that -(-x) = x and 1/(1/x) = x.
Tatoeba · #13418920