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catenary ring

commutative ring admitting a good dimension function, i.e. that relative dimension between two prime ideals is well defined, in the sense that any maximal strictly increasing chain of prime ideals between the two has the same finite length
Thing general Q5051871
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catenary ring

Summary

catenary ring has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • catenary ring is a type of commutative ring[2].
  • catenary ring is a type of noetherian ring[3].
  • catenary ring's maintained by WikiProject is recorded as WikiProject Mathematics[4].

Body

Definition and Type

Recorded subclass of include commutative ring[2] and noetherian ring[3].

Why It Matters

catenary ring has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. 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). catenary ring. Retrieved April 10, 2026, from https://4ort.xyz/entity/catenary-ring
MLA “catenary ring.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/catenary-ring.
BibTeX @misc{4ortxyz_catenary-ring_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{catenary ring}}, year = {2026}, url = {https://4ort.xyz/entity/catenary-ring}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): catenary ring — https://4ort.xyz/entity/catenary-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. 6w ago · Charp238 · 2026-07-06 view diff on Wikidata ↗
    Subclass of → —
    Aliases → —
    Maintained by wikiproject → WikiProject Mathematics
    Subclass of → commutative ring, noetherian ring
    "/* wbsetclaim-update:2||1 */ [[Property:P279]]: [[Q126898826]]"
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