Definition:Right Zero Divisor
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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
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): divisor of zero
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): divisor of zero