unique factorization domain

integral domain where every nonzero element is uniquely expressible as a product of prime elements
Thing general Q1052579
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unique factorization domain

Summary

unique factorization domain ranks in the top 2% of general entities by monthly Wikipedia readership (177 views/month).[1]

Key Facts

  • unique factorization domain's GND ID is recorded as 4414551-2[2].
  • unique factorization domain's subclass of is recorded as GCD domain[3].
  • unique factorization domain's BNCF Thesaurus ID is recorded as 21028[4].
  • unique factorization domain's Freebase ID is recorded as /m/0gfwz[5].
  • unique factorization domain's short name is recorded as {'lang': 'en', 'text': 'UFD'}[6].
  • unique factorization domain's short name is recorded as {'lang': 'de', 'text': 'ZPE-Ring'}[7].
  • unique factorization domain's short name is recorded as {'lang': 'nl', 'text': 'UFD'}[8].
  • unique factorization domain's short name is recorded as {'lang': 'es', 'text': 'DFU'}[9].
  • unique factorization domain's short name is recorded as {'lang': 'sl', 'text': 'DEF'}[10].
  • unique factorization domain's MathWorld ID is recorded as UniqueFactorizationDomain[11].
  • unique factorization domain's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • unique factorization domain's Microsoft Academic ID is recorded as 185592164[13].
  • unique factorization domain's ProofWiki ID is recorded as Definition:Unique_Factorization_Domain[14].
  • unique factorization domain's Group Properties article ID is recorded as Unique_factorization_domain[15].
  • unique factorization domain's Treccani's Enciclopedia della Matematica ID is recorded as dominio-a-fattorizzazione-unica[16].
  • unique factorization domain's OpenAlex ID is recorded as C185592164[17].
  • unique factorization domain's Metamath statement ID is recorded as df-ufd[18].
  • unique factorization domain's Lexikon der Mathematik entry ID is recorded as 11863[19].
  • unique factorization domain's LMFDB knowl ID is recorded as ring.unique_factorization_domain[20].

Why It Matters

unique factorization domain ranks in the top 2% of general entities by monthly Wikipedia readership (177 views/month).[1] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[21] It is known by 34 alternative names across languages and contexts.[22]

References

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

Direct Wikidata claims

  1. [2] . Integrated Authority File. Retrieved . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . Nuovo soggettario. Retrieved . 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] . 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . 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). unique factorization domain. Retrieved April 10, 2026, from https://4ort.xyz/entity/unique-factorization-domain
MLA “unique factorization domain.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/unique-factorization-domain.
BibTeX @misc{4ortxyz_unique-factorization-domain_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{unique factorization domain}}, year = {2026}, url = {https://4ort.xyz/entity/unique-factorization-domain}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): unique factorization domain — https://4ort.xyz/entity/unique-factorization-domain (retrieved 2026-04-10)

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