commutative

CEFRC2

/ˌkɑmjəˈteɪtive/

adjective

Türkçe translations

Translating…

In plain English

  1. 01

    adjective

    Allowing numbers or quantities to be switched without changing the result.

  2. 02

    adjective

    Extra detail

    Having a commutative operation.

Examples

  • In particular, the endomorphism ring of M is a commutative local ring.

  • Multiplication is commutative, division is not.

At a glance

Sits at C2 on the CEFR scale

Senses
5
Parts of speech
1
Citations
1
Synonyms
1

Deep Dive

adjective

Extra meanings

  1. Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.

  2. Such that the order in which the operands are taken does not affect their image under the operation.

  3. Relating to exchange; interchangeable.

More examples

In context

  • Addition and multiplication are commutative operations but subtraction and division are not.

  • 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.

Synonyms

Antonyms

Quick test

Two questions on this entry. Nothing is scored.

Question 1 · Quick check

In mathematics, addition is blank because order does not affect sum.

Practise this properly in the app, where the word comes back before you forget it.

Nearby

Origin

adjective

From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.