Category:Examples of Zero Divisors
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This category contains examples of Zero Divisor of Ring.
Let $\struct {R, +, \circ}$ be a ring.
A zero divisor (in $R$) is an element $x \in R$ such that either:
- $\exists y \in R^*: x \circ y = 0_R$
or:
- $\exists y \in R^*: y \circ x = 0_R$
where $R^*$ is defined as $R \setminus \set {0_R}$.
That is, such that $x$ is either a left zero divisor or a right zero divisor.
The expression:
- $x$ is a zero divisor
can be written:
- $x \divides 0_R$
Pages in category "Examples of Zero Divisors"
The following 4 pages are in this category, out of 4 total.