Word Pronunciation & Dictionary

commutator

Word Rarity Very rare

Frequency: Zipf frequency 2.14 in modern English

Syllables
com-mu-ta-tor
IPA
16
Scrabble Score
10
Letters
4
Syllables
7
Unique Chars

Meaning

noun

A binary map in a given group G, given by [g, h] = ghg⁻¹h⁻¹, where g and h are elements of G, which yields the group's identity if and only if the group operation commutes for g and h.

noun

A binary map in a given ring R, given by [a, b] = ab − ba, where a and b are elements of R, which yields the ring's zero element if and only if the multiplication operation commutes for a and b.

Etymology

Back-formation from commutation (in the late 19th century), as is commutate (verb) too.

Inflected Forms

Derived Forms

Phrases

Frequently Paired Words

nilpotent group solvable group

Synonyms

Questions

What does commutator mean?
An electrical switch, in a generator or motor, that periodically reverses the direction of an electric current.
Where does commutator come from?
Back-formation from commutation (in the late 19th century), as is commutate (verb) too.

How to pronounce commutator

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