transitive closure

operation on binary relations
Thing closure_of_a_relation Q1501387
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transitive closure

Summary

transitive closure is a closure of a relation[1]. It draws 145 Wikipedia views per month (closure_of_a_relation category, ranking #1 of 3).[2]

Key Facts

  • transitive closure's instance of is recorded as closure of a relation[3].
  • transitive closure's subclass of is recorded as transitive relation[4].
  • transitive closure's Freebase ID is recorded as /m/01qr9p[5].
  • transitive closure's different from is recorded as transitive closure[6].
  • transitive closure's studied by is recorded as category theory[7].
  • transitive closure's MathWorld ID is recorded as TransitiveClosure[8].
  • transitive closure's Quora topic ID is recorded as Transitive-Closure[9].
  • transitive closure's Dictionary of Algorithms and Data Structures ID is recorded as transitiveClosure[10].
  • transitive closure's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • transitive closure's Microsoft Academic ID is recorded as 128896722[12].
  • transitive closure's OpenAlex ID is recorded as C128896722[13].
  • transitive closure's Metamath statement ID is recorded as df-trcl[14].
  • transitive closure's FOLDOC ID is recorded as transitive+closure[15].

Why It Matters

transitive closure draws 145 Wikipedia views per month (closure_of_a_relation category, ranking #1 of 3).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[16] It is known by 9 alternative names across languages and contexts.[17]

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] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Quora. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] . Wikidata sitelinks. wikidata.org.
  3. [17] . 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). transitive closure. Retrieved May 3, 2026, from https://4ort.xyz/entity/transitive-closure
MLA “transitive closure.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/transitive-closure.
BibTeX @misc{4ortxyz_transitive-closure_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{transitive closure}}, year = {2026}, url = {https://4ort.xyz/entity/transitive-closure}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): transitive closure — https://4ort.xyz/entity/transitive-closure (retrieved 2026-05-03)

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