principal ideal domain

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Principal ideal domain

Wikipedia

Noun

principal ideal domain (plural principal ideal domains)

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

Abbreviations

• PID

Hypernyms

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

Hyponyms

• Euclidean domain
  • field