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Def/Commutative
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Definition of Commutative: Suppose that $X$ is a set and $B$ is a binary operation on $X$. Then, we say that $B$ is commutative, if: $$\forall x,y \in X, B(x,y) = B(y,x).$$
In particular, a ring is called commutative if its multiplication is a commutative operation.
Logical Connections
This definition logically relies on the following definitions and statements: Def/Binary operation
The following statements and definitions logically rely on the material of this page: Def/Abelian, Def/Associate, Def/Distributive, Def/Field, Def/Integral domain, and Def/Zero divisor
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