"principal ideal domain" meaning in English

See principal ideal domain in All languages combined, or Wiktionary

Noun

Forms: principal ideal domains [plural]
Head templates: {{en-noun|head=principal ideal domain}} principal ideal domain (plural principal ideal domains)
  1. (algebra) An integral domain in which every ideal is a principal ideal. Wikipedia link: principal ideal domain Categories (topical): Algebra Synonyms: PID Hypernyms: Dedekind domain, principal ideal ring, Bézout domain Hypernyms (integral domain): commutative ring Hyponyms (Euclidean domain): field
    Sense id: en-principal_ideal_domain-en-noun-5BP9o1cX Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: algebra, mathematics, sciences

Inflected forms

Alternative forms

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        "An integral domain in which every ideal is a principal ideal."
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          "word": "Dedekind domain"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-10 from the enwiktionary dump dated 2025-01-01 using wiktextract (df33d17 and 4ed51a5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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