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Def/Zero divisor
From SlugmathWiki
Definition of Zero divisor: Suppose that $R$ is a commutative ring. A zero divisor (in $R$) is a nonzero element $x \in R$, such that $\exists y \in $R$ satisfying the following two conditions:
- $xy = 0$.
- $y \neq 0$.
Logical Connections
This definition logically relies on the following definitions and statements: Def/Commutative, Def/Ring
The following statements and definitions logically rely on the material of this page: Def/Integral domain, and State/Root counting over a field
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