Definition:Unit Ideal

Definition
Let $A$ be a commutative ring with unity.

Its unit ideal is $A$ itself.

Also denoted as
The unit ideal is also denoted as $\ideal 1$; see Unit Ideal is Principal Ideal Generated by Unity

Also see

 * Ring is Ideal of Itself
 * Ideal is Unit Ideal iff Includes Unity
 * Definition:Zero Ideal of Ring