# commutant

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## English[edit]

### Etymology[edit]

### Noun[edit]

**commutant** (*plural* **commutants**)

- (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: :- 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**.

- 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

#### See also[edit]

## French[edit]

### Verb[edit]

**commutant**

## Latin[edit]

### Verb[edit]

**commūtant**