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lattice

partially ordered set that admits greatest lower and least upper bounds of any two elements
Thing general Q595364
lattice
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lattice

Summary

lattice ranks in the top 2% of general entities by monthly Wikipedia readership (1,453 views/month).[1]

Key Facts

  • lattice is a type of upper semilattice[2].
  • lattice is a type of lower semilattice[3].
  • lattice is a type of algebraic structure[4].
  • lattice's Commons category is recorded as Lattice theory[5].
  • lattice comprises semilattice[6].
  • lattice's topic's main category is recorded as Q17406201[7].
  • lattice's Commons gallery is recorded as Lattice (order)[8].
  • lattice's described by source is recorded as Armenian Soviet Encyclopedia, vol. 5[9].
  • lattice's has characteristic is recorded as distributive property[10].
  • lattice's has characteristic is recorded as absorption law[11].
  • lattice's different from is recorded as lattice[12].
  • lattice's studied by is recorded as lattice theory[13].
  • lattice's maintained by WikiProject is recorded as WikiProject Mathematics[14].

Body

Definition and Type

Recorded subclass of include upper semilattice[2], lower semilattice[3], and algebraic structure[4].

Use and Application

lattice comprises semilattice[6].

Why It Matters

lattice ranks in the top 2% of general entities by monthly Wikipedia readership (1,453 views/month).[1] lattice has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[15] lattice is known by 7 alternative names across languages and contexts.[16]

Related Entities

Alfred Horn Charles Sanders Peirce Dana Scott

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.
  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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] ↑ . Wikidata sitelinks. wikidata.org.
  3. [16] ↑ . 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). lattice. Retrieved April 10, 2026, from https://4ort.xyz/entity/lattice
MLA “lattice.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/lattice.
BibTeX @misc{4ortxyz_lattice_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{lattice}}, year = {2026}, url = {https://4ort.xyz/entity/lattice}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): lattice — https://4ort.xyz/entity/lattice (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/lattice · Last refreshed:

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. 4d ago · Twofivesixbot bot · 2026-05-25 view diff on Wikidata ↗
    Local thumb → —
    Has part(s) → semilattice
    Has parts → —
    Subclass of → —
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007558164405171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.