"complete lattice" meaning in English

See complete lattice in All languages combined, or Wiktionary

Noun

Forms: complete lattices [plural]
Head templates: {{en-noun}} complete lattice (plural complete lattices)
  1. (algebra) A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). Wikipedia link: complete lattice Categories (topical): Algebra Hyponyms: frame Related terms: lattice Translations (partially ordered set): úplný svaz [masculine] (Czech), reticulado completo [masculine] (Portuguese)
    Sense id: en-complete_lattice-en-noun-MEg85Wtk Categories (other): English entries with incorrect language header Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for complete lattice meaning in English (1.5kB)

{
  "forms": [
    {
      "form": "complete lattices",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "complete lattice (plural complete lattices)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet)."
      ],
      "hyponyms": [
        {
          "word": "frame"
        }
      ],
      "id": "en-complete_lattice-en-noun-MEg85Wtk",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "partially ordered set",
          "partially ordered set"
        ],
        [
          "supremum",
          "supremum"
        ],
        [
          "join",
          "join#English"
        ],
        [
          "infimum",
          "infimum"
        ],
        [
          "meet",
          "meet#English"
        ]
      ],
      "raw_glosses": [
        "(algebra) A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet)."
      ],
      "related": [
        {
          "word": "lattice"
        }
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "partially ordered set",
          "tags": [
            "masculine"
          ],
          "word": "úplný svaz"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "partially ordered set",
          "tags": [
            "masculine"
          ],
          "word": "reticulado completo"
        }
      ],
      "wikipedia": [
        "complete lattice"
      ]
    }
  ],
  "word": "complete lattice"
}
{
  "forms": [
    {
      "form": "complete lattices",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "complete lattice (plural complete lattices)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "frame"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "lattice"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Algebra"
      ],
      "glosses": [
        "A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet)."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "partially ordered set",
          "partially ordered set"
        ],
        [
          "supremum",
          "supremum"
        ],
        [
          "join",
          "join#English"
        ],
        [
          "infimum",
          "infimum"
        ],
        [
          "meet",
          "meet#English"
        ]
      ],
      "raw_glosses": [
        "(algebra) A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet)."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "complete lattice"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "partially ordered set",
      "tags": [
        "masculine"
      ],
      "word": "úplný svaz"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "partially ordered set",
      "tags": [
        "masculine"
      ],
      "word": "reticulado completo"
    }
  ],
  "word": "complete lattice"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.