Commutant
From Wikipedia, the free encyclopedia
In algebra, the commutant of a subset S of a semigroup (such as an algebra or a group) A is the subset S′ of elements of A commuting with every element of S. In other words,
S′ forms a subsemigroup. This is analogous to the concept of a centralizer in group theory.
[edit] Properties
- S' = S''' = S'''''
- S'' = S'''' = S''''''
[edit] See also
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