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principal ideal ring

ring in which every ideal is principal
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principal ideal ring

Summary

principal ideal ring ranks in the top 2% of general entities by monthly Wikipedia readership (14 views/month).[1]

Key Facts

  • principal ideal ring's subclass of is recorded as ring[2].
  • principal ideal ring's Freebase ID is recorded as /m/0gyykm[3].
  • principal ideal ring's different from is recorded as principal ideal domain[4].
  • principal ideal ring's studied by is recorded as theory of principal ideal rings[5].
  • principal ideal ring's MathWorld ID is recorded as PrincipalRing[6].
  • principal ideal ring's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • principal ideal ring's Microsoft Academic ID is recorded as 156923205[8].
  • principal ideal ring's Encyclopedia of Mathematics article ID is recorded as Principal_ideal_ring[9].
  • principal ideal ring's OpenAlex ID is recorded as C156923205[10].
  • principal ideal ring's Metamath statement ID is recorded as df-lpir[11].

Why It Matters

principal ideal ring ranks in the top 2% of general entities by monthly Wikipedia readership (14 views/month).[1] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[12] It is known by 5 alternative names across languages and contexts.[13]

References

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

Direct Wikidata claims

  1. [2] ↑ . Algebras, rings and modules. wikidata.org.
  2. [3] ↑ . Freebase Data Dumps. wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  10. [11] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] ↑ . Wikidata sitelinks. wikidata.org.
  3. [13] ↑ . 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 ring. Retrieved April 11, 2026, from https://4ort.xyz/entity/principal-ideal-ring
MLA “principal ideal ring.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/principal-ideal-ring.
BibTeX @misc{4ortxyz_principal-ideal-ring_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{principal ideal ring}}, year = {2026}, url = {https://4ort.xyz/entity/principal-ideal-ring}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): principal ideal ring — https://4ort.xyz/entity/principal-ideal-ring (retrieved 2026-04-11)

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