Definition:Nonzero Integer

Definition
A nonzero integer is an element of the set:
 * $\Z \setminus \set 0$

where:
 * $\Z$ denotes the set of integers
 * $\setminus$ denotes set difference.

Thus:
 * $\Z \setminus \set 0 = \set {\ldots, -3, -2, -1, 1, 2, 3, \ldots}$

and can be denoted $\Z_{\ne 0}$.

Also known as
The term can be seen hyphenated: non-zero integer.

Also see

 * Definition:Positive Integer
 * Definition:Negative Integer
 * Definition:Strictly Positive Integer
 * Definition:Strictly Negative Integer