commutant

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English[edit]

Etymology[edit]

commute +‎ -ant

Noun[edit]

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”, 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 {\mathfrak{M}}, a concrete C * -algebra 6 of bounded linear operators acting on a Hilbert space 7 {\mathcal{H}} that is closed in the weak topology 8 or, equivalently, 9 that has the property that ({\mathfrak{M}}^{\prime})^{\prime}:={\mathfrak{M}}^{\prime \prime }={\mathfrak{M}}, where “′” denotes the commutant.

See also[edit]


French[edit]

Verb[edit]

commutant

  1. Present participle of commuter.

Latin[edit]

Verb[edit]

commūtant

  1. third-person plural present active indicative of commūtō