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irreducible ideal

proper ideal of a commutative ring that is not the intersection of two strictly larger ideals
Thing general Q17098198
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irreducible ideal

Summary

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

Key Facts

  • irreducible ideal's subclass of is recorded as primal ideal[2].
  • irreducible ideal's Freebase ID is recorded as /m/05q4wv7[3].
  • irreducible ideal's facet of is recorded as irreducible element[4].
  • irreducible ideal's different from is recorded as prime ideal[5].
  • irreducible ideal's MathWorld ID is recorded as IrreducibleIdeal[6].
  • irreducible ideal's nLab ID is recorded as irreducible ideal[7].
  • irreducible ideal's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • irreducible ideal's Microsoft Academic ID is recorded as 2781437761[9].

Why It Matters

irreducible ideal ranks in the top 2% of general entities by monthly Wikipedia readership (14 views/month).[1] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[10]

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] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . Wikidata sitelinks. 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). irreducible ideal. Retrieved April 11, 2026, from https://4ort.xyz/entity/irreducible-ideal
MLA “irreducible ideal.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/irreducible-ideal.
BibTeX @misc{4ortxyz_irreducible-ideal_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{irreducible ideal}}, year = {2026}, url = {https://4ort.xyz/entity/irreducible-ideal}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): irreducible ideal — https://4ort.xyz/entity/irreducible-ideal (retrieved 2026-04-11)

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