Definition:Principal Ideal Domain

Definition

A principal ideal domain is an integral domain in which every ideal is a principal ideal.

Also known as

Another term seen for principal ideal domain is principal ideal ring.

Also see

• Results about principal ideal domains can be found here.

Sources

• 1972: A.G. Howson: A Handbook of Terms used in Algebra and Analysis ... (previous) ... (next): $\S 6$: Rings and fields
• 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra ... (previous) ... (next): $\S 59$. Principal ideals in a commutative ring with a one