principal ideal domain

English

Noun

principal ideal domain (plural principal ideal domains)

1. (algebra) An integral domain in which every ideal is a principal ideal.

Synonyms

• PID

Hypernyms

• unique factorization domain, Noetherian domain
  • integral domain
    • commutative ring
• Dedekind domain
• principal ideal ring
• Bézout domain

Hyponyms

• Euclidean domain
  • field