algebraic number

complex number that is a root of a non-zero polynomial in one variable with rational coefficients
Thing general Q168817
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algebraic number

Summary

algebraic number ranks in the top 2% of general entities by monthly Wikipedia readership (1,552 views/month).[1]

Key Facts

  • algebraic number is a type of complex number[2].
  • algebraic number is a type of computable complex number[3].
  • algebraic number is part of set of algebraic numbers[4].
  • algebraic number's Commons category is recorded as Algebraic numbers[5].
  • algebraic number is the opposite of transcendental number[6].
  • algebraic number's topic's main category is recorded as Category:Algebraic numbers[7].
  • algebraic number's described by source is recorded as Otto's encyclopedia[8].
  • algebraic number's described by source is recorded as Armenian Soviet Encyclopedia, vol. 6[9].
  • algebraic number's topic has template is recorded as Template:Algebraic numbers[10].
  • algebraic number's different from is recorded as algebraic integer[11].
  • algebraic number's different from is recorded as arithmetic number[12].
  • algebraic number's studied by is recorded as theory of algebraic numbers[13].
  • algebraic number's studied by is recorded as number theory[14].
  • algebraic number's set cardinality is recorded as aleph null[15].
  • algebraic number's maintained by WikiProject is recorded as WikiProject Mathematics[16].

Body

Definition and Type

Recorded subclass of include complex number[2] and computable complex number[3]. algebraic number is the opposite of transcendental number[6].

Use and Application

algebraic number is part of set of algebraic numbers[4].

Why It Matters

algebraic number ranks in the top 2% of general entities by monthly Wikipedia readership (1,552 views/month).[1] It has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[17] It is known by 56 alternative names across languages and contexts.[18]

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.
  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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] ↑ . Wikidata sitelinks. wikidata.org.
  3. [18] ↑ . 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. Retrieved October 1, 2026, from https://4ort.xyz/entity/algebraic-number
MLA “algebraic number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 1 Oct. 2026, https://4ort.xyz/entity/algebraic-number.
BibTeX @misc{4ortxyz_algebraic-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{algebraic number}}, year = {2026}, url = {https://4ort.xyz/entity/algebraic-number}, note = {Accessed: 2026-10-01}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): algebraic number — https://4ort.xyz/entity/algebraic-number (retrieved 2026-10-01)

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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 · AddyLockPool · 2026-09-16 view diff on Wikidata ↗
    Described by source → Otto's encyclopedia, Armenian Soviet Encyclopedia, vol. 6
    "/* wbremoveclaims-remove:1| */ [[Property:P1343]]: [[Q140169500]], Moving to [[Q47007753]]"
  2. 18d ago · AddyLockPool · 2026-09-16 view diff on Wikidata ↗
    Described by source → Otto's encyclopedia, Armenian Soviet Encyclopedia, vol. 6
    "/* wbsetclaim-create:2||1 */ [[Property:P1343]]: [[Q140169500]]"
  3. 19w ago · Twofivesixbot bot · 2026-05-24 view diff on Wikidata ↗
    Studied by → theory of algebraic numbers, number theory
    Maintained by wikiproject → WikiProject Mathematics
    Part of → set of algebraic numbers
    Opposite of → transcendental number
    + 10 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007531340005171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.