commutatorˈkɒm yəˌteɪ tər
commutator (n)
English Definitions:
commutator (noun)
switch for reversing the direction of an electric current
commutator (Noun)
an electrical switch, in a generator or motor, that periodically reverses the direction of an electric current
commutator (Noun)
(of a group) an element of the form ghgh where g and h are elements of the group; it is equal to the group's identity if and only if g and h commute
commutator (Noun)
(of a ring) an element of the form ab-ba, where a and b are elements of the ring, it is identical to the ring's zero element if and only if a and b commute
Commutator
In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative. There are different definitions used in group theory and ring theory.
Commutator
In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative. There are different definitions used in group theory and ring theory.
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"commutator." Kamus.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.kamus.net/english/commutator>.
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