"complete lattice" meaning in All languages combined

See complete lattice on Wiktionary

Noun [English]

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)

Inflected forms

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        }
      ],
      "glosses": [
        "A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet)."
      ],
      "hyponyms": [
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          "word": "frame"
        }
      ],
      "id": "en-complete_lattice-en-noun-MEg85Wtk",
      "links": [
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        ],
        [
          "partially ordered set",
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        ],
        [
          "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"
        }
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          "code": "cs",
          "lang": "Czech",
          "sense": "partially ordered set",
          "tags": [
            "masculine"
          ],
          "word": "úplný svaz"
        },
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          "code": "pt",
          "lang": "Portuguese",
          "sense": "partially ordered set",
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            "masculine"
          ],
          "word": "reticulado completo"
        }
      ],
      "wikipedia": [
        "complete lattice"
      ]
    }
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  "word": "complete lattice"
}
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        ],
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          "infimum"
        ],
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          "meet#English"
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      ],
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        "algebra",
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  "translations": [
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      "code": "cs",
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      "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"
}

Download raw JSONL data for complete lattice meaning in All languages combined (1.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.