commutator
English
Etymology
Back-formation from commutation (in the late 19th century), as is commutate (verb) too.
Noun
commutator (plural commutators)
- An electrical switch, in a generator or motor, that periodically reverses the direction of an electric current.
- Synonyms: (dated) rheotrope, (dated) electrepeter
- (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.
- (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.
Derived terms
Translations
electrical switch
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binary function in a group
binary function in a ring
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See also
- nilpotent group
- solvable group
Further reading
- Commutative property on Wikipedia.Wikipedia
Latin
References
- commutator in Gaffiot, Félix (1934) Dictionnaire illustré latin-français, Hachette.
- commutator in Ramminger, Johann (2016 July 16 (last accessed)) Neulateinische Wortliste: Ein Wörterbuch des Lateinischen von Petrarca bis 1700, pre-publication website, 2005-2016
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