ideal

additive subgroup of a ring closed under multiplcation by arbitrary ring element
Thing general Q44649
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ideal

Summary

ideal ranks in the top 2% of general entities by monthly Wikipedia readership (1,597 views/month).[1]

Key Facts

  • ideal is a type of abelian group[2].
  • ideal is a type of rng[3].
  • ideal is a type of submodule[4].
  • ideal is part of ring[5].
  • ideal's Commons category is recorded as Ideal (ring theory)[6].
  • ideal's topic's main category is recorded as Category:Ideals (ring theory)[7].
  • ideal's different from is recorded as ideal[8].
  • ideal's different from is recorded as fractional ideal[9].
  • ideal's studied by is recorded as ring theory[10].
  • ideal's maintained by WikiProject is recorded as WikiProject Mathematics[11].

Body

Definition and Type

Recorded subclass of include abelian group[2], rng[3], and submodule[4].

Use and Application

ideal is part of ring[5].

Why It Matters

ideal ranks in the top 2% of general entities by monthly Wikipedia readership (1,597 views/month).[1] ideal has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[12] ideal is known by 21 alternative names across languages and contexts.[13]

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APA 4ort.xyz Knowledge Graph. (2026). ideal. Retrieved April 10, 2026, from https://4ort.xyz/entity/ideal
MLA “ideal.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/ideal.
BibTeX @misc{4ortxyz_ideal_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{ideal}}, year = {2026}, url = {https://4ort.xyz/entity/ideal}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): ideal — https://4ort.xyz/entity/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. 6d ago · Twofivesixbot bot · 2026-05-23 view diff on Wikidata ↗
    Part of ring
    Subclass of
    Part of
    Different from ideal, fractional ideal
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007538412305171, mv to monolingual text names on J9U statements"
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