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maximal ideal

proper ideal such that the only ideal it is properly contained in is the ring itself
Thing general Q1203540
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maximal ideal

Summary

maximal ideal has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • maximal ideal is a type of ideal[2].
  • maximal ideal is a type of prime ideal[3].
  • maximal ideal's has characteristic is recorded as maximal with respect to set inclusion[4].
  • maximal ideal's maintained by WikiProject is recorded as WikiProject Mathematics[5].

Body

Definition and Type

Recorded subclass of include ideal[2] and prime ideal[3].

Why It Matters

maximal ideal has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[1] It is known by 4 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). maximal ideal. Retrieved April 10, 2026, from https://4ort.xyz/entity/maximal-ideal
MLA “maximal ideal.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/maximal-ideal.
BibTeX @misc{4ortxyz_maximal-ideal_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{maximal ideal}}, year = {2026}, url = {https://4ort.xyz/entity/maximal-ideal}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): maximal ideal — https://4ort.xyz/entity/maximal-ideal (retrieved 2026-04-10)

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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. 5d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Subclass of → —
    P14534 → Ideal.IsMaximal
    Maintained by wikiproject → WikiProject Mathematics
    Aliases → —
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: Ideal.IsMaximal, #quickstatements; #temporary_batch_1783013068346"
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