principal ideal domain

Contents

EnglishEdit

NounEdit

principal ideal domain (plural principal ideal domains)

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

AbbreviationsEdit

• PID

HypernymsEdit

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

HyponymsEdit

• Euclidean domain
  • field