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Euclidean domain

Commutative ring with an Euclidean division
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Euclidean domain

Summary

Euclidean domain has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • Euclidean division is named after Euclidean domain[2].
  • Euclidean domain is a type of principal ideal domain[3].
  • Euclidean domain's different from is recorded as euclidean field[4].
  • Euclidean domain's maintained by WikiProject is recorded as WikiProject Mathematics[5].

Body

Definition and Type

Euclidean domain is a type of principal ideal domain[3].

Origins

Euclidean division is named after Euclidean domain[2].

Why It Matters

Euclidean domain has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[1] It is known by 24 alternative names across languages and contexts.[6]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [6] ↑ . 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). Euclidean domain. Retrieved April 10, 2026, from https://4ort.xyz/entity/euclidean-domain
MLA “Euclidean domain.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/euclidean-domain.
BibTeX @misc{4ortxyz_euclidean-domain_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Euclidean domain}}, year = {2026}, url = {https://4ort.xyz/entity/euclidean-domain}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Euclidean domain — https://4ort.xyz/entity/euclidean-domain (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/euclidean-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. 18d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Named after → —
    Subclass of → —
    Different from → euclidean field
    P14534 → EuclideanDomain
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: EuclideanDomain, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.