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noun (wikipedia, commutator (electric))
  1. an electrical switch, in a generator or motor, that periodically reverses the direction of an electric current
  1. (mathematics) (of a group) an element of the form ghgâ1hâ1 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
  2. (mathematics) (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

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