quotient ring

construction in abstract algebra
Thing general Q619436
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quotient ring

Summary

quotient ring has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • quotient ring is a type of ring[2].
  • quotient ring is a type of quotient set[3].
  • quotient ring's different from is recorded as localization of a ring[4].
  • quotient ring's different from is recorded as ring of integers modulo n[5].
  • quotient ring's different from is recorded as quotient algebra[6].
  • quotient ring's studied by is recorded as category theory[7].
  • quotient ring's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

Recorded subclass of include ring[2] and quotient set[3].

Why It Matters

quotient ring has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[1] It is known by 18 alternative names across languages and contexts.[9]

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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). quotient ring. Retrieved April 10, 2026, from https://4ort.xyz/entity/quotient-ring
MLA “quotient ring.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/quotient-ring.
BibTeX @misc{4ortxyz_quotient-ring_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{quotient ring}}, year = {2026}, url = {https://4ort.xyz/entity/quotient-ring}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): quotient ring — https://4ort.xyz/entity/quotient-ring (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. 4d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Aliases
    Subclass of
    Studied by category theory
    Different from localization of a ring, ring of integers modulo n, quotient algebra
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: Ideal.Quotient.ring, #quickstatements; #temporary_batch_1783013068346"
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