Definition:Divisor (Algebra)/Terminology

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

Let $x, y \in R$.

Let $x \divides y$ denote that $x$ divides $y$.

Then the following terminology can be used:
 * $x$ is a divisor of $y$
 * $y$ is a multiple of $x$
 * $y$ is divisible by $x$.

In the field of Euclidean geometry, in particular:
 * $x$ measures $y$.

To indicate that $x$ does not divide $y$, we write $x \nmid y$.