Definition:Principal Ideal Domain
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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.
- Results about principal ideal domains can be found here.
- 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