dictionary · eo1.org

commutator

Fetched 2026-10-26 (cache).

Synonyms: computator, commutate, commutation, commentator, compotator, commutators, commutated, commutates

Antonyms: computator, commutate, commutation, commentator, compotator, commutators, commutated, commutates

Related words from Datamuse; suggestions, not definitions.

Noun

  1. An [[electrical]] [[switch]], in a [[generator]] or [[motor]], that [[periodically]] [[reverse]]s the [[direction]] of an [[electric current]].
  2. {{lb|en|group theory}} A binary map in a given [[group]] ''G'', given by [''g, h''] = ''ghg<sup>−1</sup>h<sup>−1</sup>'', where ''g'' and ''h'' are [[element]]s of ''G'', which yields the group's [[identity]] if and only if the group operation [[commute]]s for ''g'' and ''h''.
  3. {{lb|en|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''.

Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.