Definition:Associate

Integers
As the integers form an integral domain, the definition can be applied directly to the set of integers $\Z$:

Commutative and Unitary Ring
The concept of associatehood can also be applied to the general commutative and unitary ring, even though there may be (proper) zero divisors in the latter:

Also known as
The statement $x$ is an associate of $y$ can be expressed as $x$ is associated to $y$.

The notation $x \cong y$ is sometimes seen to indicate that $x$ is an associate of $y$.

See, for example,