Home › Entities › general › unique factorization domain

unique factorization domain

integral domain where every nonzero element is uniquely expressible as a product of prime elements
Thing general Q1052579
Press Enter · cited answer in seconds

unique factorization domain

Summary

unique factorization domain ranks in the top 2% of general entities by monthly Wikipedia readership (102 views/month).[1]

Key Facts

  • unique factorization domain is a type of GCD domain[2].
  • unique factorization domain's short name is recorded as {'lang': 'en', 'text': 'UFD'}[3].
  • unique factorization domain's short name is recorded as {'lang': 'de', 'text': 'ZPE-Ring'}[4].
  • unique factorization domain's short name is recorded as {'lang': 'nl', 'text': 'UFD'}[5].
  • unique factorization domain's short name is recorded as {'lang': 'es', 'text': 'DFU'}[6].
  • unique factorization domain's short name is recorded as {'lang': 'sl', 'text': 'DEF'}[7].
  • unique factorization domain's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

unique factorization domain is a type of GCD domain[2].

Why It Matters

unique factorization domain ranks in the top 2% of general entities by monthly Wikipedia readership (102 views/month).[1] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[9] It is known by 34 alternative names across languages and contexts.[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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. wikidata.org.
  3. [10] ↑ . 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)

Canonical URL: https://4ort.xyz/entity/unique-factorization-domain · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 11d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Subclass of → —
    P14534 → UniqueFactorizationMonoid
    Maintained by wikiproject → WikiProject Mathematics
    Aliases → —
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbsetreference-add:2| */ [[Property:P14534]]: UniqueFactorizationMonoid, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.