commutative

ˈkɒmjʊtətɪv

Definition

Definition of commutative - Reverso English Dictionary

Adjective

algebra rule

TECH.

property where swapping inputs in a two-argument process changes nothing

TECH.

Addition is commutative, so 3 + 5 equals 5 + 3.
Multiplication of real numbers is commutative, but matrix multiplication is not.
The professor asked us to prove that the given operation is commutative.

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Expressions with commutative

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commutative law

rule that changing order does not change the result

The commutative law says a + b equals b + a.

commutative ring

ring with commutative multiplication operation

In a commutative ring, ab equals ba for any elements a and b.

commutative group

set with operation that is commutative and associative

In a commutative group, the order of elements doesn't matter.

Origin of commutative

Latin, commutare (to change)

Terms with commutative included in their meaning

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abelian group

mathematics

group in which the group operation is commutative

integral domain

mathematics

nonzero commutative ring where product of nonzero elements is nonzero

commutative ring

mathematics

ring with commutative multiplication operation

commutative group

mathematics

set with operation that is commutative and associative

View all translations of commutative

✨Click below to see the appropriate translations facing each meaning.

French:commutatif, ...
German:kommutativ, ...
Italian:commutativo, ...
Spanish:conmutativo, ...
Portuguese:comutativo, ...
Chinese:交换的, ...
Japanese:可換の, ...
Arabic:تَبَادُلِيّ, ...
Hebrew:קוֹמוּטָטִיבִי, ...
Russian:коммутативный, ...
Ukrainian:комутативний, ...
Hindi:परिवर्तनीय, ...
Bengali:আদানপ্রদেয়, ...
Catalan:commutatiu, ...
Czech:komutativní, ...
Danish:kommutativ, ...
Dutch:commutatief, ...
Greek:αντιμεταθετικός, ...
Hungarian:kommutatív, ...
Khmer:មានលក្ខណៈប្ដូរតម្លៃបាន, ...
Korean:교환적인, ...
Persian:جابجایی‌پذیر, ...
Polish:przemienny, ...
Portuguese (BR):comutativo, ...
Romanian:comutativ, ...
Swedish:kommutativ, ...
Thai:สลับที่ได้, ...
Turkish:değişmeli, ...
Vietnamese:giao hoán, ...

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Definition of commutative - Reverso English Dictionary

Adjective

Expressions with commutative

Origin of commutative

Terms related to commutative

Terms with commutative included in their meaning

View all translations of commutative

Discover how Reverso redefines the dictionary

Go beyond “simple words”

Get more than a simple definition

Go from understanding to mastery