Home › Entities › Quality › algebraic independence

algebraic independence

linearly independence of elements of a field extension that are also not related via finitary arithmetic operations
Thing Quality Q1495342

Facts

3 properties
Instance of
quality
Maintained by WikiProject
WikiProject Mathematics[3]
Studied by
category theory[2]
🏷️ Also known as
en algebraic independence ar استقلال جبري cs algebraická nezávislost de algebraische Unabhängigkeit el Αλγεβρική ανεξαρτησία es independencia algebraica fa استقلال جبری fr indépendance algébrique he אי תלות אלגברית hu algebrai függetlenség id Kebebasan aljabar it indipendenza algebrica ja 代数独立 ja 代数的に独立 ja 代数的に独立な ko 대수적 독립 집합 nl algebraïsche onafhankelijkheid pt independência algébrica ro independență algebrică ru алгебраическая независимость
🔖 Identifiers · 5
Freebase ID
/m/01q7rk
J9U entity ID
987007291965905171
MathWorld ID
AlgebraicallyIndependent
Metamath statement ID
df-algind
Microsoft Academic ID (discontinued)
2778794865

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Instance of 1
quality
Maintained by WikiProject 1
WikiProject Mathematics
Studied by 1
category theory
Press Enter · cited answer in seconds

Summary

algebraic independence is a quality[1].

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. 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 independence. Retrieved November 13, 2026, from https://4ort.xyz/entity/algebraic-independence
MLA “algebraic independence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 13 Nov. 2026, https://4ort.xyz/entity/algebraic-independence.
BibTeX @misc{4ortxyz_algebraic-independence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{algebraic independence}}, year = {2026}, url = {https://4ort.xyz/entity/algebraic-independence}, note = {Accessed: 2026-11-13}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): algebraic independence — https://4ort.xyz/entity/algebraic-independence (retrieved 2026-11-13)

Canonical URL: https://4ort.xyz/entity/algebraic-independence · 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. 24w ago · Twofivesixbot bot · 2026-05-27 view diff on Wikidata ↗
    Studied by → category theory
    Instance of → quality
    Maintained by WikiProject → WikiProject Mathematics
    "Changed claim qualifiers: J9U entity ID: 987007291965905171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.