Definition:Left Zero Divisor

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

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

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

Also see

 * Definition:Right Zero Divisor
 * Definition:Zero Divisor