commutator

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English[edit]

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Noun[edit]

commutator (plural commutators)

  1. An electrical switch, in a generator or motor, that periodically reverses the direction of an electric current.
  2. (group theory) 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.
  3. (ring theory) 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.

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Latin[edit]

Verb[edit]

commūtātor

  1. second-person singular future passive imperative of commūtō
  2. third-person singular future passive imperative of commūtō

References[edit]

  • commutator” in Félix Gaffiot’s Dictionnaire Illustré Latin-Français, Hachette (1934)
  • commutator in Ramminger, Johann (accessed 16 July 2016) Neulateinische Wortliste: Ein Wörterbuch des Lateinischen von Petrarca bis 1700[1], pre-publication website, 2005-2016