commutative
Such that the order in which the operands are taken does not affect their image under…Such that the order in which the operands are taken does not affect their image under the operation.
» Multiplication is commutative, division is not.
Умножение коммутативно, деление — нет.
Meaning
4 senses(not comparable)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.
kommutativ
коммутативныйkommutativnyj, перестановочныйperestanovočnyj
(of a binary operation) independent of order; as in e.g.: ‘a x b’ = ‘b x a’
(not comparable)Having a commutative operation.
kommutativ
(not comparable)Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
(not comparable)Relating to exchange; interchangeable.
Examples
3 sentencesMultiplication is commutative, division is not.
ruУмножение коммутативно, деление — нет.
Many students find quaternion arithmetic unintuitive because it has non-commutative multiplication.
In particular, the endomorphism ring of M is a commutative local ring.
ruВ частности, кольцо эндоморфизмов модуля M является коммутативным локальным кольцом.
deInsbesondere ist der Endomorphismenring von M ein kommutativer lokaler Ring.
Translations
7 languagesBy meaning 1
By meaning 1
Origin
From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.
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