partially ordered set

set ordered by a transitive, antisymmetric, and reflexive binary relation
Thing general Q474715
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partially ordered set

Summary

partially ordered set ranks in the top 2% of general entities by monthly Wikipedia readership (498 views/month).[1]

Key Facts

  • partially ordered set's subclass of is recorded as preordered set[2].
  • partially ordered set's has part is recorded as partial order[3].
  • partially ordered set's Freebase ID is recorded as /m/05w8k[4].
  • partially ordered set's NL CR AUT ID is recorded as ph126955[5].
  • partially ordered set's Stack Exchange tag is recorded as https://mathoverflow.net/tags/posets[6].
  • partially ordered set's different from is recorded as partial order[7].
  • partially ordered set's studied by is recorded as order theory[8].
  • partially ordered set's BabelNet ID is recorded as 01675182n[9].
  • partially ordered set's MathWorld ID is recorded as PartiallyOrderedSet[10].
  • partially ordered set's Encyclopædia Universalis ID is recorded as ensembles-ordonnes[11].
  • partially ordered set's Mathematics Subject Classification ID is recorded as 06A06[12].
  • partially ordered set's JSTOR topic ID is recorded as partially-ordered-sets[13].
  • partially ordered set's Elhuyar ZTH ID is recorded as 133728[14].
  • partially ordered set's Dictionary of Algorithms and Data Structures ID is recorded as partiallyOrderedSet[15].
  • partially ordered set's Dictionary of Algorithms and Data Structures ID is recorded as poset[16].
  • partially ordered set's maintained by WikiProject is recorded as WikiProject Mathematics[17].
  • partially ordered set's Microsoft Academic ID is recorded as 180645754[18].
  • partially ordered set's Brilliant Wiki ID is recorded as partially-ordered-set[19].
  • partially ordered set's Online PWN Encyclopedia ID is recorded as 3889738[20].
  • partially ordered set's National Library of Israel J9U ID is recorded as 987007565496805171[21].
  • partially ordered set's KBpedia ID is recorded as PartialOrdering[22].
  • partially ordered set's OpenAlex ID is recorded as C180645754[23].
  • partially ordered set's OpenAlex ID is recorded as C2985459651[24].
  • partially ordered set's ScienceDirect topic ID is recorded as mathematics/partially-ordered-set[25].
  • partially ordered set's ScienceDirect topic ID is recorded as mathematics/poset[26].

Why It Matters

partially ordered set ranks in the top 2% of general entities by monthly Wikipedia readership (498 views/month).[1] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[27] It is known by 45 alternative names across languages and contexts.[28]

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] . Freebase Data Dumps. wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . BabelNet. wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . National Library of Israel Names and Subjects Authority File. wikidata.org.
  21. [22] . KBpedia. Retrieved . wikidata.org.
  22. [23] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  23. [24] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). partially ordered set. Retrieved April 10, 2026, from https://4ort.xyz/entity/partially-ordered-set
MLA “partially ordered set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/partially-ordered-set.
BibTeX @misc{4ortxyz_partially-ordered-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{partially ordered set}}, year = {2026}, url = {https://4ort.xyz/entity/partially-ordered-set}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): partially ordered set — https://4ort.xyz/entity/partially-ordered-set (retrieved 2026-04-10)

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