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Krull's theorem

theorem stating that a nonzero ring has a maximal left (or right) ideal
Intangible theorem Q2397775

Facts

4 properties
Instance of
theorem
Maintained by WikiProject
WikiProject Mathematics[4]
Named after
Wolfgang Krull[2]
Said to be the same as
axiom of choice[3]
🏷️ Also known as
en Krull's theorem fr théorème de Krull hu Krull-tétel it lemma di Krull ja クルルの定理 pl twierdzenie Krulla pt teorema de Krull ru теорема Крулля tr Krull teoremi uk теорема Круля
🔖 Identifiers · 2
Freebase ID
/m/0bklvq
Microsoft Academic ID (discontinued)
2776877930

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🔗 Connections
Created notable works 1
Wolfgang Krull
Instance of 1
theorem
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
Wolfgang Krull
Said to be the same as 1
axiom of choice
← Said to be the same as 1
axiom of choice
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Summary

Krull's theorem is a theorem[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.
  3. [4] ↑ . 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). Krull's theorem. Retrieved November 1, 2026, from https://4ort.xyz/entity/krull-s-theorem
MLA “Krull's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 1 Nov. 2026, https://4ort.xyz/entity/krull-s-theorem.
BibTeX @misc{4ortxyz_krull-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Krull's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/krull-s-theorem}, note = {Accessed: 2026-11-01}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Krull's theorem — https://4ort.xyz/entity/krull-s-theorem (retrieved 2026-11-01)

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