"commutative" meaning in All languages combined

See commutative on Wiktionary

Adjective [English]

Etymology: From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute. Etymology templates: {{der|en|fr|commuter||to substitute or switch}} French commuter (“to substitute or switch”), {{af|en|-ative|t1=tending to}} -ative (“tending to”) Head templates: {{en-adj|-}} commutative (not comparable)
  1. (mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation. Tags: not-comparable Categories (topical): Mathematics Translations (mathematics: such that order of operands does not affect result): commutatiu (Catalan), komutativní [masculine] (Czech), kommutativ (Danish), commutatief (Dutch), komuta (Esperanto), kommutatiivinen (Finnish), vaihdannainen (Finnish), kommutativ (German), αντιμεταθετικός (antimetathetikós) (Greek), विनिमेय (vinimey) (Hindi), víxlinn [masculine] (Icelandic), przemienny [masculine] (Polish), comutativo (Portuguese), comutativ (Romanian), коммутативный (kommutativnyj) (Russian), перестановочный (perestanovočnyj) (Russian), palitin (Tagalog), değişmeli (Turkish)
    Sense id: en-commutative-en-adj-QuWdlo9A Categories (other): English entries with incorrect language header, English terms suffixed with -ative, Entries with translation boxes, Pages with 3 entries, Pages with entries, Terms with Catalan translations, Terms with Czech translations, Terms with Danish translations, Terms with Dutch translations, Terms with Esperanto translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Greek translations, Terms with Hindi translations, Terms with Hungarian translations, Terms with Icelandic translations, Terms with Polish translations, Terms with Portuguese translations, Terms with Romanian translations, Terms with Russian translations, Terms with Spanish translations, Terms with Tagalog translations, Terms with Turkish translations Disambiguation of English entries with incorrect language header: 57 9 33 1 Disambiguation of English terms suffixed with -ative: 58 9 31 2 Disambiguation of Entries with translation boxes: 60 7 31 1 Disambiguation of Pages with 3 entries: 61 6 32 1 Disambiguation of Pages with entries: 62 3 34 1 Disambiguation of Terms with Catalan translations: 56 13 27 4 Disambiguation of Terms with Czech translations: 52 17 27 4 Disambiguation of Terms with Danish translations: 59 9 29 3 Disambiguation of Terms with Dutch translations: 62 9 27 2 Disambiguation of Terms with Esperanto translations: 61 11 27 1 Disambiguation of Terms with Finnish translations: 56 13 27 4 Disambiguation of Terms with French translations: 63 8 28 1 Disambiguation of Terms with German translations: 57 9 28 5 Disambiguation of Terms with Greek translations: 51 21 27 1 Disambiguation of Terms with Hindi translations: 53 18 25 3 Disambiguation of Terms with Hungarian translations: 47 25 26 3 Disambiguation of Terms with Icelandic translations: 56 13 27 4 Disambiguation of Terms with Polish translations: 56 14 25 4 Disambiguation of Terms with Portuguese translations: 55 15 26 4 Disambiguation of Terms with Romanian translations: 56 13 27 4 Disambiguation of Terms with Russian translations: 62 7 29 2 Disambiguation of Terms with Spanish translations: 62 6 31 1 Disambiguation of Terms with Tagalog translations: 56 13 27 4 Disambiguation of Terms with Turkish translations: 56 13 27 4 Topics: mathematics, sciences Disambiguation of 'mathematics: such that order of operands does not affect result': 68 14 18 1
  2. (algebra, of an algebraic structure) Having a commutative operation. Tags: not-comparable Categories (topical): Algebra Synonyms (of an algebraic structure): abelian, Abelian Translations (algebra: having a commutative operation): commutatiu (Catalan), komutativní [masculine] (Czech), komuta (Esperanto), kommutatiivinen (Finnish), vaihdannainen (Finnish), kommutativ (German), comutativo (Portuguese), comutativ (Romanian), palitin (Tagalog), değişmeli (Turkish)
    Sense id: en-commutative-en-adj-Eoflf-pc Topics: algebra, mathematics, sciences Disambiguation of 'of an algebraic structure': 21 48 24 6 Disambiguation of 'algebra: having a commutative operation': 22 73 5 1
  3. (mathematics, of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-commutative-en-adj-96vCNf2w Topics: mathematics, sciences
  4. Relating to exchange; interchangeable. Tags: not-comparable
    Sense id: en-commutative-en-adj-zptjCIBM
The following are not (yet) sense-disambiguated
Related terms: commutator, commute

Adjective [French]

Head templates: {{head|fr|adjective form}} commutative
  1. feminine singular of commutatif Tags: feminine, form-of, singular Form of: commutatif
    Sense id: en-commutative-fr-adj-ik0WEa0V Categories (other): French entries with incorrect language header, Pages with 3 entries, Pages with entries

Adjective [Italian]

Head templates: {{head|it|adjective form}} commutative
  1. feminine plural of commutativo Tags: feminine, form-of, plural Form of: commutativo
    Sense id: en-commutative-it-adj-8QeP~Rf8 Categories (other): Italian entries with incorrect language header, Pages with 3 entries, Pages with entries
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        {
          "text": "Addition on the real numbers is commutative because for any real numbers s,t, it is true that s#x2B;t#x3D;t#x2B;s.",
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        {
          "_dis1": "68 14 18 1",
          "code": "ca",
          "lang": "Catalan",
          "sense": "mathematics: such that order of operands does not affect result",
          "word": "commutatiu"
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          "tags": [
            "masculine"
          ],
          "word": "komutativní"
        },
        {
          "_dis1": "68 14 18 1",
          "code": "da",
          "lang": "Danish",
          "sense": "mathematics: such that order of operands does not affect result",
          "word": "kommutativ"
        },
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          "code": "nl",
          "lang": "Dutch",
          "sense": "mathematics: such that order of operands does not affect result",
          "word": "commutatief"
        },
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          "sense": "mathematics: such that order of operands does not affect result",
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          "word": "kommutatiivinen"
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        },
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          "code": "de",
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          "word": "kommutativ"
        },
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          "_dis1": "68 14 18 1",
          "code": "el",
          "lang": "Greek",
          "roman": "antimetathetikós",
          "sense": "mathematics: such that order of operands does not affect result",
          "word": "αντιμεταθετικός"
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        "feminine plural of commutativo"
      ],
      "id": "en-commutative-it-adj-8QeP~Rf8",
      "links": [
        [
          "commutativo",
          "commutativo#Italian"
        ]
      ],
      "tags": [
        "feminine",
        "form-of",
        "plural"
      ]
    }
  ],
  "word": "commutative"
}
{
  "antonyms": [
    {
      "word": "anticommutative"
    }
  ],
  "categories": [
    "English adjectives",
    "English entries with incorrect language header",
    "English lemmas",
    "English terms derived from French",
    "English terms suffixed with -ative",
    "English uncomparable adjectives",
    "Entries with translation boxes",
    "Pages with 3 entries",
    "Pages with entries",
    "Requests for review of French translations",
    "Requests for review of Hungarian translations",
    "Requests for review of Spanish translations",
    "Terms with Catalan translations",
    "Terms with Czech translations",
    "Terms with Danish translations",
    "Terms with Dutch translations",
    "Terms with Esperanto translations",
    "Terms with Finnish translations",
    "Terms with French translations",
    "Terms with German translations",
    "Terms with Greek translations",
    "Terms with Hindi translations",
    "Terms with Hungarian translations",
    "Terms with Icelandic translations",
    "Terms with Polish translations",
    "Terms with Portuguese translations",
    "Terms with Romanian translations",
    "Terms with Russian translations",
    "Terms with Spanish translations",
    "Terms with Tagalog translations",
    "Terms with Turkish translations"
  ],
  "derived": [
    {
      "word": "cocommutative"
    },
    {
      "word": "combinatorial commutative algebra"
    },
    {
      "word": "commutative algebra"
    },
    {
      "word": "commutative justice"
    },
    {
      "word": "commutatively"
    },
    {
      "word": "commutativeness"
    },
    {
      "word": "commutative property"
    },
    {
      "word": "commutative ring"
    },
    {
      "word": "commutativity"
    },
    {
      "word": "gyrocommutative"
    },
    {
      "word": "noncommutative"
    },
    {
      "word": "supercommutative"
    },
    {
      "word": "uncommutative"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "fr",
        "3": "commuter",
        "4": "",
        "5": "to substitute or switch"
      },
      "expansion": "French commuter (“to substitute or switch”)",
      "name": "der"
    },
    {
      "args": {
        "1": "en",
        "2": "-ative",
        "t1": "tending to"
      },
      "expansion": "-ative (“tending to”)",
      "name": "af"
    }
  ],
  "etymology_text": "From French commuter (“to substitute or switch”) + -ative (“tending to”). See commute.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "commutative (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "commutator"
    },
    {
      "word": "commute"
    }
  ],
  "senses": [
    {
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "Addition on the real numbers is commutative because for any real numbers s,t, it is true that s#x2B;t#x3D;t#x2B;s.",
          "type": "example"
        },
        {
          "text": "Addition and multiplication are commutative operations but subtraction and division are not.",
          "type": "example"
        }
      ],
      "glosses": [
        "Such that the order in which the operands are taken does not affect their image under the operation."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "binary",
          "binary"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "order",
          "order"
        ],
        [
          "operand",
          "operand"
        ],
        [
          "image",
          "image"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation."
      ],
      "raw_tags": [
        "of a binary operation"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Algebra"
      ],
      "glosses": [
        "Having a commutative operation."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "algebraic structure",
          "algebraic structure"
        ],
        [
          "operation",
          "operation"
        ]
      ],
      "raw_glosses": [
        "(algebra, of an algebraic structure) Having a commutative operation."
      ],
      "raw_tags": [
        "of an algebraic structure"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "diagram",
          "diagram"
        ],
        [
          "morphism",
          "morphism"
        ],
        [
          "compose",
          "compose"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism."
      ],
      "raw_tags": [
        "of a diagram of morphisms"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "glosses": [
        "Relating to exchange; interchangeable."
      ],
      "links": [
        [
          "exchange",
          "exchange"
        ],
        [
          "interchangeable",
          "interchangeable"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "of an algebraic structure",
      "word": "abelian"
    },
    {
      "sense": "of an algebraic structure",
      "word": "Abelian"
    }
  ],
  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "commutatiu"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "mathematics: such that order of operands does not affect result",
      "tags": [
        "masculine"
      ],
      "word": "komutativní"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "kommutativ"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "commutatief"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "komuta"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "kommutatiivinen"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "vaihdannainen"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "kommutativ"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "antimetathetikós",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "αντιμεταθετικός"
    },
    {
      "code": "hi",
      "lang": "Hindi",
      "roman": "vinimey",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "विनिमेय"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "mathematics: such that order of operands does not affect result",
      "tags": [
        "masculine"
      ],
      "word": "víxlinn"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "mathematics: such that order of operands does not affect result",
      "tags": [
        "masculine"
      ],
      "word": "przemienny"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "comutativo"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "comutativ"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "kommutativnyj",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "коммутативный"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "perestanovočnyj",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "перестановочный"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "palitin"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "mathematics: such that order of operands does not affect result",
      "word": "değişmeli"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "algebra: having a commutative operation",
      "word": "commutatiu"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "algebra: having a commutative operation",
      "tags": [
        "masculine"
      ],
      "word": "komutativní"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "algebra: having a commutative operation",
      "word": "komuta"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "algebra: having a commutative operation",
      "word": "kommutatiivinen"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "algebra: having a commutative operation",
      "word": "vaihdannainen"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "algebra: having a commutative operation",
      "word": "kommutativ"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "algebra: having a commutative operation",
      "word": "comutativo"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "algebra: having a commutative operation",
      "word": "comutativ"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "algebra: having a commutative operation",
      "word": "palitin"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "algebra: having a commutative operation",
      "word": "değişmeli"
    }
  ],
  "word": "commutative"
}

{
  "head_templates": [
    {
      "args": {
        "1": "fr",
        "2": "adjective form"
      },
      "expansion": "commutative",
      "name": "head"
    }
  ],
  "lang": "French",
  "lang_code": "fr",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "French adjective forms",
        "French entries with incorrect language header",
        "French non-lemma forms",
        "Pages with 3 entries",
        "Pages with entries"
      ],
      "form_of": [
        {
          "word": "commutatif"
        }
      ],
      "glosses": [
        "feminine singular of commutatif"
      ],
      "links": [
        [
          "commutatif",
          "commutatif#French"
        ]
      ],
      "tags": [
        "feminine",
        "form-of",
        "singular"
      ]
    }
  ],
  "word": "commutative"
}

{
  "head_templates": [
    {
      "args": {
        "1": "it",
        "2": "adjective form"
      },
      "expansion": "commutative",
      "name": "head"
    }
  ],
  "lang": "Italian",
  "lang_code": "it",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "Italian adjective forms",
        "Italian entries with incorrect language header",
        "Italian non-lemma forms",
        "Pages with 3 entries",
        "Pages with entries"
      ],
      "form_of": [
        {
          "word": "commutativo"
        }
      ],
      "glosses": [
        "feminine plural of commutativo"
      ],
      "links": [
        [
          "commutativo",
          "commutativo#Italian"
        ]
      ],
      "tags": [
        "feminine",
        "form-of",
        "plural"
      ]
    }
  ],
  "word": "commutative"
}

Download raw JSONL data for commutative meaning in All languages combined (9.0kB)

{
  "called_from": "translations/324",
  "msg": "possible sense number in translation item: French: __IGNORE__, __IGNORE__ (1, 2), __IGNORE__, __IGNORE__ (2)",
  "path": [
    "commutative"
  ],
  "section": "English",
  "subsection": "adjective",
  "title": "commutative",
  "trace": ""
}

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.