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antisymmetric relation

binary relation such that if A is related to B and is different from it then B is not related to A
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antisymmetric relation

Summary

antisymmetric relation ranks in the top 2% of general entities by monthly Wikipedia readership (116 views/month).[1]

Key Facts

  • antisymmetric relation's subclass of is recorded as endorelation[2].
  • antisymmetric relation's Freebase ID is recorded as /m/0mqp[3].
  • antisymmetric relation's has characteristic is recorded as antisymmetry[4].
  • antisymmetric relation's different from is recorded as asymmetric relation[5].
  • antisymmetric relation's defining formula is recorded as \forall a, b \in X,\ (aRb \and bRa) \; \Rightarrow \; a = b[6].
  • antisymmetric relation's MathWorld ID is recorded as AntisymmetricRelation[7].
  • antisymmetric relation's nLab ID is recorded as antisymmetric relation[8].
  • antisymmetric relation's Elhuyar ZTH ID is recorded as 020490[9].
  • antisymmetric relation's Dictionary of Algorithms and Data Structures ID is recorded as antisymmetric[10].
  • antisymmetric relation's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • antisymmetric relation's Microsoft Academic ID is recorded as 152401794[12].
  • antisymmetric relation's in defining formula is recorded as a[13].
  • antisymmetric relation's in defining formula is recorded as b[14].
  • antisymmetric relation's in defining formula is recorded as X[15].
  • antisymmetric relation's in defining formula is recorded as R[16].
  • antisymmetric relation's OpenAlex ID is recorded as C152401794[17].

Why It Matters

antisymmetric relation ranks in the top 2% of general entities by monthly Wikipedia readership (116 views/month).[1] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[18] It is known by 28 alternative names across languages and contexts.[19]

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . Freebase Data Dumps. wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . 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] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] ↑ . Wikidata sitelinks. wikidata.org.
  3. [19] ↑ . 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). antisymmetric relation. Retrieved April 10, 2026, from https://4ort.xyz/entity/antisymmetric-relation
MLA “antisymmetric relation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/antisymmetric-relation.
BibTeX @misc{4ortxyz_antisymmetric-relation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{antisymmetric relation}}, year = {2026}, url = {https://4ort.xyz/entity/antisymmetric-relation}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): antisymmetric relation — https://4ort.xyz/entity/antisymmetric-relation (retrieved 2026-04-10)

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