Definition:Right Zero Divisor

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

A right zero divisor (in $R$) is an element $x \in R$ such that:
 * $\exists y \in R^*: y \circ x = 0_R$

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

Also see

 * Definition:Left Zero Divisor
 * Definition:Zero Divisor