FACTOID # 77: Moldova has one of the smallest artillery forces in Europe, and the highest rate in the world of death by powered lawnmower. Coincidence? Surely not.
 
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Encyclopedia > Commutant

In algebra, the commutant of a subset S of an algebra over a field K, A is the subset S' of elements of A commuting with every element of S. In other words,

.

S' forms a subalgebra. This is analogous to the concept of a centralizer in group theory.


See also bicommutant, von Neumann bicommutant theorem.


  Results from FactBites:
 
Addition - ExampleProblems.com (2022 words)
Addition is commutative, meaning that one can reverse the terms in a sum left-to-right, and the result will be the same.
The fact that addition is commutative is known as the "commutative law of addition".
However, many binary operations are not commutative, such as subtraction and division, so it is misleading to speak of an unqualified "commutative law".
  More results at FactBites »


 

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