noncommutative geometry

mathematical theory in which noncommutative algebraic structures are interpreted as rings of functions on an abstract space
CreativeWork branch_of_mathematics Q2746792
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noncommutative geometry

Summary

noncommutative geometry is a branch of mathematics[1]. It draws 157 Wikipedia views per month (branch_of_mathematics category, ranking #62 of 184).[2]

Key Facts

  • noncommutative geometry's instance of is recorded as branch of mathematics[3].
  • noncommutative geometry's part of is recorded as geometry[4].
  • noncommutative geometry's part of is recorded as operator theory[5].
  • noncommutative geometry's Freebase ID is recorded as /m/01r7gc[6].
  • noncommutative geometry's topic's main category is recorded as Category:Noncommutative geometry[7].
  • noncommutative geometry's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/noncommutative-geometry[8].
  • noncommutative geometry's Stack Exchange tag is recorded as https://mathoverflow.net/tags/noncommutative-geometry[9].
  • noncommutative geometry's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/non-commutative-geometry[10].
  • noncommutative geometry's short name is recorded as {'lang': 'en', 'text': 'NCG'}[11].
  • noncommutative geometry's short name is recorded as {'lang': 'fr', 'text': 'GNC'}[12].
  • noncommutative geometry's short name is recorded as {'lang': 'ru', 'text': 'НКГ'}[13].
  • noncommutative geometry's short name is recorded as {'lang': 'nl', 'text': 'NCM'}[14].
  • noncommutative geometry's MathWorld ID is recorded as NoncommutativeGeometry[15].
  • noncommutative geometry's Treccani ID is recorded as la-grande-scienza-geometria-non-commutativa_(Storia-della-Scienza)[16].
  • noncommutative geometry's nLab ID is recorded as noncommutative geometry[17].
  • noncommutative geometry's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • noncommutative geometry's Microsoft Academic ID is recorded as 68797384[19].
  • noncommutative geometry's PlanetMath ID is recorded as NoncommutativeGeometry[20].
  • noncommutative geometry's KBpedia ID is recorded as NoncommutativeGeometry[21].
  • noncommutative geometry's OpenAlex ID is recorded as C68797384[22].
  • noncommutative geometry's ScienceDirect topic ID is recorded as mathematics/noncommutative-geometry[23].

Body

Publication

Part of include geometry[4], a branch of mathematics[24] and operator theory[5], a branch of mathematics[25].

Why It Matters

noncommutative geometry draws 157 Wikipedia views per month (branch_of_mathematics category, ranking #62 of 184).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[26] It is known by 9 alternative names across languages and contexts.[27]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . KBpedia. Retrieved . wikidata.org.
  20. [22] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  21. [23] . wikidata.org.

Inline context (facts about related entities)

  1. [24] . Wikidata. wikidata.org. → on this site
  2. [25] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [26] . Wikidata sitelinks. wikidata.org.
  3. [27] . 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). noncommutative geometry. Retrieved May 3, 2026, from https://4ort.xyz/entity/noncommutative-geometry
MLA “noncommutative geometry.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/noncommutative-geometry.
BibTeX @misc{4ortxyz_noncommutative-geometry_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{noncommutative geometry}}, year = {2026}, url = {https://4ort.xyz/entity/noncommutative-geometry}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): noncommutative geometry — https://4ort.xyz/entity/noncommutative-geometry (retrieved 2026-05-03)

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