# Definition:Right Zero Divisor

## Definition

Let $\left({R, +, \circ}\right)$ 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 $R \setminus \left\{{0_R}\right\}$.