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algebraic number field

a finite degree (and hence algebraic) field extension of the field of rational numbers
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algebraic number field

Summary

algebraic number field ranks in the top 2% of general entities by monthly Wikipedia readership (319 views/month).[1]

Key Facts

  • algebraic number field is a type of field[2].
  • algebraic number field is a type of subfield[3].
  • algebraic number field comprises field of rational numbers[4].
  • algebraic number field comprises algebraic element[5].
  • algebraic number field's different from is recorded as field of algebraic numbers[6].
  • algebraic number field's studied by is recorded as algebraic number theory[7].
  • algebraic number field's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[8].
  • algebraic number field's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

Recorded subclass of include field[2] and subfield[3].

Use and Application

Components include field of rational numbers[4], a field[10] and algebraic element[5], a mathematical property[11].

Why It Matters

algebraic number field ranks in the top 2% of general entities by monthly Wikipedia readership (319 views/month).[1] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[12] It is known by 9 alternative names across languages and contexts.[13]

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.

Inline context (facts about related entities)

  1. [10] ↑ . Wikidata. wikidata.org. → on this site
  2. [11] ↑ . Wikidata. wikidata.org. → on this site

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] ↑ . Wikidata sitelinks. wikidata.org.
  3. [13] ↑ . 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). algebraic number field. Retrieved April 10, 2026, from https://4ort.xyz/entity/algebraic-number-field
MLA “algebraic number field.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/algebraic-number-field.
BibTeX @misc{4ortxyz_algebraic-number-field_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{algebraic number field}}, year = {2026}, url = {https://4ort.xyz/entity/algebraic-number-field}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): algebraic number field — https://4ort.xyz/entity/algebraic-number-field (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/algebraic-number-field · 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. 14d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Aliases → —
    Subclass of → —
    Studied by → algebraic number theory
    Different from → field of algebraic numbers
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: NumberField, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.