# Ring of rational integers

From Commalg

## Definition

The ring , called the **ring of rational integers** or sometimes simply the **ring of integers**, is the ring whose elements are the rational integers, with the usual addition and multiplication. Explicitly, the underlying set is and the addition and multiplication are the usual ones.

The adjective *rational* is used in the name in circumstances where there may be potential confusion with the ring of integers in a number field.