Category:Examples of Proper Zero Divisors

This category contains examples of Proper Zero Divisor.

Let $\struct {R, +, \circ}$ be a ring.

A proper zero divisor of $R$ is an element $x \in R^*$ such that:

$\exists y \in R^*: x \circ y = 0_R$

where $R^*$ is defined as $R \setminus \set {0_R}$.

That is, it is a zero divisor of $R$ which is specifically not $0_R$.