primary decomposition

in algebra, expression of an ideal as the intersection of ideals of a specific type
Intangible theorem Q172298
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primary decomposition

Summary

primary decomposition is a theorem[1]. It draws 84 Wikipedia views per month (theorem category, ranking #231 of 1,306).[2]

Key Facts

  • primary decomposition is credited with the discovery of Ernst Kummer[3].
  • primary decomposition is credited with the discovery of Richard Dedekind[4].
  • primary decomposition's instance of is recorded as theorem[5].
  • primary decomposition's part of is recorded as list of theorems[6].
  • primary decomposition's Freebase ID is recorded as /m/04hcj6[7].
  • primary decomposition's studied by is recorded as algebra[8].
  • primary decomposition's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • primary decomposition's Microsoft Academic ID is recorded as 2780837895[10].
  • primary decomposition's Encyclopedia of Mathematics article ID is recorded as Primary_decomposition[11].
  • primary decomposition's generalization of is recorded as fundamental theorem of arithmetic[12].
  • primary decomposition's OpenAlex ID is recorded as C2992633423[13].

Body

Works and Contributions

Credited discoveries include Ernst Kummer[3], a mathematician[14], 1810–1893[15], of Kingdom of Prussia[16], awarded the Bavarian Maximilian Order for Science and Art[17], specialised in number theory[18] and Richard Dedekind[4], a mathematician[19], 1831–1916[20], of Duchy of Brunswick[21], specialised in algebra[22].

Why It Matters

primary decomposition draws 84 Wikipedia views per month (theorem category, ranking #231 of 1,306).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[23] It is known by 6 alternative names across languages and contexts.[24]

References

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

Direct Wikidata claims

  1. [5] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . Freebase Data Dumps. wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Inline context (facts about related entities)

  1. [14] ↑ . Wikidata. wikidata.org. → on this site
  2. [15] ↑ . Wikidata. wikidata.org. → on this site
  3. [16] ↑ . Wikidata. wikidata.org. → on this site
  4. [17] ↑ . Wikidata. wikidata.org. → on this site
  5. [18] ↑ . Wikidata. wikidata.org. → on this site
  6. [19] ↑ . Wikidata. wikidata.org. → on this site
  7. [20] ↑ . Wikidata. wikidata.org. → on this site
  8. [21] ↑ . Wikidata. wikidata.org. → on this site
  9. [22] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [23] ↑ . Wikidata sitelinks. wikidata.org.
  3. [24] ↑ . 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). primary decomposition. Retrieved October 1, 2026, from https://4ort.xyz/entity/primary-decomposition
MLA “primary decomposition.” 4ort.xyz Knowledge Graph, 4ort.xyz, 1 Oct. 2026, https://4ort.xyz/entity/primary-decomposition.
BibTeX @misc{4ortxyz_primary-decomposition_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{primary decomposition}}, year = {2026}, url = {https://4ort.xyz/entity/primary-decomposition}, note = {Accessed: 2026-10-01}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): primary decomposition — https://4ort.xyz/entity/primary-decomposition (retrieved 2026-10-01)

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