principal ideal domain

Algebraic structure
Thing general Q1143969
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principal ideal domain

Summary

principal ideal domain ranks in the top 2% of general entities by monthly Wikipedia readership (146 views/month).[1]

Key Facts

  • principal ideal domain's subclass of is recorded as unique factorization domain[2].
  • principal ideal domain's subclass of is recorded as principal ideal ring[3].
  • principal ideal domain's subclass of is recorded as Dedekind domain[4].
  • principal ideal domain's Freebase ID is recorded as /m/0686j[5].
  • principal ideal domain's short name is recorded as {'lang': 'en', 'text': 'PID'}[6].
  • principal ideal domain's short name is recorded as {'lang': 'es', 'text': 'DIP'}[7].
  • principal ideal domain's different from is recorded as principal ideal ring[8].
  • principal ideal domain's studied by is recorded as Q114704316[9].
  • principal ideal domain's BabelNet ID is recorded as 01849535n[10].
  • principal ideal domain's MathWorld ID is recorded as PrincipalIdealDomain[11].
  • principal ideal domain's nLab ID is recorded as principal ideal domain[12].
  • principal ideal domain's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • principal ideal domain's Microsoft Academic ID is recorded as 149664292[14].
  • principal ideal domain's ProofWiki ID is recorded as Definition:Principal_Ideal_Domain[15].
  • principal ideal domain's Encyclopedia of Mathematics article ID is recorded as Principal_ideal_domain[16].
  • principal ideal domain's Group Properties article ID is recorded as Principal_ideal_domain[17].
  • principal ideal domain's Treccani's Enciclopedia della Matematica ID is recorded as dominio-a-ideali-principali[18].
  • principal ideal domain's Metamath statement ID is recorded as df-pid[19].

Why It Matters

principal ideal domain ranks in the top 2% of general entities by monthly Wikipedia readership (146 views/month).[1] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[20] It is known by 10 alternative names across languages and contexts.[21]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . BabelNet. wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). principal ideal domain. Retrieved April 10, 2026, from https://4ort.xyz/entity/principal-ideal-domain
MLA “principal ideal domain.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/principal-ideal-domain.
BibTeX @misc{4ortxyz_principal-ideal-domain_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{principal ideal domain}}, year = {2026}, url = {https://4ort.xyz/entity/principal-ideal-domain}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): principal ideal domain — https://4ort.xyz/entity/principal-ideal-domain (retrieved 2026-04-10)

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