Definition:Unit Ideal

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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

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