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Definition 2024


commutant

commutant

English

Noun

commutant (plural commutants)

  1. (algebra, logic) The subset of all elements of a semigroup that commute with the elements of a given subset
    • 2008 September 27, John Earman, “Superselection Rules for Philosophers”, in Erkenntnis, volume 69, number 3, DOI:10.1007/s10670-008-9124-z:
      The basic mathematical entity to be used here in elucidating the different senses of superselection rules is a von Neumann algebra a concrete C * -algebra 6 of bounded linear operators acting on a Hilbert space 7 that is closed in the weak topology 8 or, equivalently, 9 that has the property that where “′” denotes the commutant.

See also


French

Verb

commutant

  1. present participle of commuter

Latin

Verb

commūtant

  1. third-person plural present active indicative of commūtō