"antikommutativ" meaning in Deutsch

See antikommutativ in All languages combined, or Wiktionary

Adjective

Audio: De-antikommutativ.ogg
Etymology: Kompositum aus anti- und kommutativ Forms: antikommutativ [positive], antikommutativer [positive, nominative, strong, singular, masculine], antikommutative [positive, nominative, strong, singular, feminine], antikommutatives [positive, nominative, strong, singular, neuter], antikommutative [positive, nominative, strong, plural], antikommutativen [positive, genitive, strong, singular, masculine], antikommutativer [positive, genitive, strong, singular, feminine], antikommutativen [positive, genitive, strong, singular, neuter], antikommutativer [positive, genitive, strong, plural], antikommutativem [positive, dative, strong, singular, masculine], antikommutativer [positive, dative, strong, singular, feminine], antikommutativem [positive, dative, strong, singular, neuter], antikommutativen [positive, dative, strong, plural], antikommutativen [positive, accusative, strong, singular, masculine], antikommutative [positive, accusative, strong, singular, feminine], antikommutatives [positive, accusative, strong, singular, neuter], antikommutative [positive, accusative, strong, plural], der antikommutative [positive, nominative, weak, singular, masculine], die antikommutative [positive, nominative, weak, singular, feminine], das antikommutative [positive, nominative, weak, singular, neuter], die antikommutativen [positive, nominative, weak, plural], des antikommutativen [positive, genitive, weak, singular, masculine], der antikommutativen [positive, genitive, weak, singular, feminine], des antikommutativen [positive, genitive, weak, singular, neuter], der antikommutativen [positive, genitive, weak, plural], dem antikommutativen [positive, dative, weak, singular, masculine], der antikommutativen [positive, dative, weak, singular, feminine], dem antikommutativen [positive, dative, weak, singular, neuter], den antikommutativen [positive, dative, weak, plural], den antikommutativen [positive, accusative, weak, singular, masculine], die antikommutative [positive, accusative, weak, singular, feminine], das antikommutative [positive, accusative, weak, singular, neuter], die antikommutativen [positive, accusative, weak, plural], ein antikommutativer [positive, nominative, mixed, singular, masculine], eine antikommutative [positive, nominative, mixed, singular, feminine], ein antikommutatives [positive, nominative, mixed, singular, neuter], (keine) antikommutativen [positive, nominative, mixed, plural], eines antikommutativen [positive, genitive, mixed, singular, masculine], einer antikommutativen [positive, genitive, mixed, singular, feminine], eines antikommutativen [positive, genitive, mixed, singular, neuter], (keiner) antikommutativen [positive, genitive, mixed, plural], einem antikommutativen [positive, dative, mixed, singular, masculine], einer antikommutativen [positive, dative, mixed, singular, feminine], einem antikommutativen [positive, dative, mixed, singular, neuter], (keinen) antikommutativen [positive, dative, mixed, plural], einen antikommutativen [positive, accusative, mixed, singular, masculine], eine antikommutative [positive, accusative, mixed, singular, feminine], ein antikommutatives [positive, accusative, mixed, singular, neuter], (keine) antikommutativen [positive, accusative, mixed, plural], er ist antikommutativ [positive, predicative, singular, masculine], sie ist antikommutativ [positive, predicative, singular, feminine], es ist antikommutativ [positive, predicative, singular, neuter], sie sind antikommutativ [positive, predicative, plural]
  1. Mathematik, als Eigenschaft von Operationen oder Strukturen: invertiert bei Vertauschung der Operanden
    Sense id: de-antikommutativ-de-adj-iiygmYuX
The following are not (yet) sense-disambiguated
Derived forms: Antikommutativität, Antikommutator Translations: anticommutative (Englisch), anticommutatif (Französisch), antikommutativ (Schwedisch)
Categories (other): Adjektiv (Deutsch), Anagramm sortiert (Deutsch), Deutsch, Grundformeintrag (Deutsch), Roter Audiolink, Rückläufige Wörterliste (Deutsch), Rückläufige Wörterliste Grundformeintrag (Deutsch), Wiktionary:Audio-Datei, Siehe auch

Inflected forms

{
  "antonyms": [
    {
      "sense_index": "1",
      "word": "kommutativ"
    }
  ],
  "categories": [
    {
      "kind": "other",
      "name": "Adjektiv (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Anagramm sortiert (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Deutsch",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Grundformeintrag (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Roter Audiolink",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Rückläufige Wörterliste (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Rückläufige Wörterliste Grundformeintrag (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Wiktionary:Audio-Datei",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Siehe auch",
      "orig": "siehe auch",
      "parents": [],
      "source": "w"
    }
  ],
  "derived": [
    {
      "word": "Antikommutativität"
    },
    {
      "word": "Antikommutator"
    }
  ],
  "etymology_text": "Kompositum aus anti- und kommutativ",
  "forms": [
    {
      "form": "antikommutativ",
      "tags": [
        "positive"
      ]
    },
    {
      "form": "antikommutativer",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "strong",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "strong",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "antikommutatives",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "strong",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "strong",
        "plural"
      ]
    },
    {
      "form": "antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "strong",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "antikommutativer",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "strong",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "strong",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "antikommutativer",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "strong",
        "plural"
      ]
    },
    {
      "form": "antikommutativem",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "strong",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "antikommutativer",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "strong",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "antikommutativem",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "strong",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "strong",
        "plural"
      ]
    },
    {
      "form": "antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "strong",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "strong",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "antikommutatives",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "strong",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "strong",
        "plural"
      ]
    },
    {
      "form": "der antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "weak",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "die antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "weak",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "das antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "weak",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "die antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "weak",
        "plural"
      ]
    },
    {
      "form": "des antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "weak",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "der antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "weak",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "des antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "weak",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "der antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "weak",
        "plural"
      ]
    },
    {
      "form": "dem antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "weak",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "der antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "weak",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "dem antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "weak",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "den antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "weak",
        "plural"
      ]
    },
    {
      "form": "den antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "weak",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "die antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "weak",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "das antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "weak",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "die antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "weak",
        "plural"
      ]
    },
    {
      "form": "ein antikommutativer",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "mixed",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "eine antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "mixed",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "ein antikommutatives",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "mixed",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "(keine) antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "eines antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "mixed",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "einer antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "mixed",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "eines antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "mixed",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "(keiner) antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "einem antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "mixed",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "einer antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "mixed",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "einem antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "mixed",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "(keinen) antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "einen antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "mixed",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "eine antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "mixed",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "ein antikommutatives",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "mixed",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "(keine) antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "er ist antikommutativ",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "predicative",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "sie ist antikommutativ",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "predicative",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "es ist antikommutativ",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "predicative",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "sie sind antikommutativ",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "predicative",
        "plural"
      ]
    }
  ],
  "hyphenation": "an·ti·kom·mu·ta·tiv",
  "lang": "Deutsch",
  "lang_code": "de",
  "pos": "adj",
  "pos_title": "Adjektiv",
  "senses": [
    {
      "examples": [
        {
          "text": "Das Kreuzprodukt ist antikommutativ:(a×b)=-(b×a)."
        },
        {
          "text": "Die Potenz ist weder kommutativ noch antikommutativ: vertauscht man die Zahlen, so erhält man ein völlig anderes Ergebnis."
        },
        {
          "ref": "„Kennzeichnung quasi-alternativer quadratischer Divisionsalgebren “, von Eberhard Becker (Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, Volume 38, Number 1 / Mai 1972), Seite 1",
          "text": "A⁻ bezeichne dabei die durch das Produkt [a,b]=ab-ba aus A entstehende antikommmutative Algebra."
        },
        {
          "ref": "„Semiquadratische Algebren“, von Frank Rosemeier (Dissertation, FernUniversität Hagen 2002), Seite 21",
          "text": "Die durch μ₀ definierte antikommutative R-Algebra auf Q_0 nennen wir den antikommutativen Anteil von Q und bezeichnen ihn mit A(Q)."
        }
      ],
      "glosses": [
        "Mathematik, als Eigenschaft von Operationen oder Strukturen: invertiert bei Vertauschung der Operanden"
      ],
      "id": "de-antikommutativ-de-adj-iiygmYuX",
      "sense_index": "1"
    }
  ],
  "sounds": [
    {
      "audio": "De-antikommutativ.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/7b/De-antikommutativ.ogg/De-antikommutativ.ogg.mp3",
      "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-antikommutativ.ogg"
    }
  ],
  "translations": [
    {
      "lang": "Englisch",
      "lang_code": "en",
      "sense_index": "1",
      "word": "anticommutative"
    },
    {
      "lang": "Französisch",
      "lang_code": "fr",
      "sense_index": "1",
      "word": "anticommutatif"
    },
    {
      "lang": "Schwedisch",
      "lang_code": "sv",
      "sense_index": "1",
      "word": "antikommutativ"
    }
  ],
  "word": "antikommutativ"
}

{
  "antonyms": [
    {
      "sense_index": "1",
      "word": "kommutativ"
    }
  ],
  "categories": [
    "Adjektiv (Deutsch)",
    "Anagramm sortiert (Deutsch)",
    "Deutsch",
    "Grundformeintrag (Deutsch)",
    "Roter Audiolink",
    "Rückläufige Wörterliste (Deutsch)",
    "Rückläufige Wörterliste Grundformeintrag (Deutsch)",
    "Wiktionary:Audio-Datei",
    "siehe auch"
  ],
  "derived": [
    {
      "word": "Antikommutativität"
    },
    {
      "word": "Antikommutator"
    }
  ],
  "etymology_text": "Kompositum aus anti- und kommutativ",
  "forms": [
    {
      "form": "antikommutativ",
      "tags": [
        "positive"
      ]
    },
    {
      "form": "antikommutativer",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "strong",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "strong",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "antikommutatives",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "strong",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "strong",
        "plural"
      ]
    },
    {
      "form": "antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "strong",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "antikommutativer",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "strong",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "strong",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "antikommutativer",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "strong",
        "plural"
      ]
    },
    {
      "form": "antikommutativem",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "strong",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "antikommutativer",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "strong",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "antikommutativem",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "strong",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "strong",
        "plural"
      ]
    },
    {
      "form": "antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "strong",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "strong",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "antikommutatives",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "strong",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "strong",
        "plural"
      ]
    },
    {
      "form": "der antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "weak",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "die antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "weak",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "das antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "weak",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "die antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "weak",
        "plural"
      ]
    },
    {
      "form": "des antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "weak",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "der antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "weak",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "des antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "weak",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "der antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "weak",
        "plural"
      ]
    },
    {
      "form": "dem antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "weak",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "der antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "weak",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "dem antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "weak",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "den antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "weak",
        "plural"
      ]
    },
    {
      "form": "den antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "weak",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "die antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "weak",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "das antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "weak",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "die antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "weak",
        "plural"
      ]
    },
    {
      "form": "ein antikommutativer",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "mixed",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "eine antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "mixed",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "ein antikommutatives",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "mixed",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "(keine) antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "nominative",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "eines antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "mixed",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "einer antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "mixed",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "eines antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "mixed",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "(keiner) antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "genitive",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "einem antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "mixed",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "einer antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "mixed",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "einem antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "mixed",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "(keinen) antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "dative",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "einen antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "mixed",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "eine antikommutative",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "mixed",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "ein antikommutatives",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "mixed",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "(keine) antikommutativen",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "accusative",
        "mixed",
        "plural"
      ]
    },
    {
      "form": "er ist antikommutativ",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "predicative",
        "singular",
        "masculine"
      ]
    },
    {
      "form": "sie ist antikommutativ",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "predicative",
        "singular",
        "feminine"
      ]
    },
    {
      "form": "es ist antikommutativ",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "predicative",
        "singular",
        "neuter"
      ]
    },
    {
      "form": "sie sind antikommutativ",
      "source": "Flexion:antikommutativ",
      "tags": [
        "positive",
        "predicative",
        "plural"
      ]
    }
  ],
  "hyphenation": "an·ti·kom·mu·ta·tiv",
  "lang": "Deutsch",
  "lang_code": "de",
  "pos": "adj",
  "pos_title": "Adjektiv",
  "senses": [
    {
      "examples": [
        {
          "text": "Das Kreuzprodukt ist antikommutativ:(a×b)=-(b×a)."
        },
        {
          "text": "Die Potenz ist weder kommutativ noch antikommutativ: vertauscht man die Zahlen, so erhält man ein völlig anderes Ergebnis."
        },
        {
          "ref": "„Kennzeichnung quasi-alternativer quadratischer Divisionsalgebren “, von Eberhard Becker (Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, Volume 38, Number 1 / Mai 1972), Seite 1",
          "text": "A⁻ bezeichne dabei die durch das Produkt [a,b]=ab-ba aus A entstehende antikommmutative Algebra."
        },
        {
          "ref": "„Semiquadratische Algebren“, von Frank Rosemeier (Dissertation, FernUniversität Hagen 2002), Seite 21",
          "text": "Die durch μ₀ definierte antikommutative R-Algebra auf Q_0 nennen wir den antikommutativen Anteil von Q und bezeichnen ihn mit A(Q)."
        }
      ],
      "glosses": [
        "Mathematik, als Eigenschaft von Operationen oder Strukturen: invertiert bei Vertauschung der Operanden"
      ],
      "sense_index": "1"
    }
  ],
  "sounds": [
    {
      "audio": "De-antikommutativ.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/7b/De-antikommutativ.ogg/De-antikommutativ.ogg.mp3",
      "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-antikommutativ.ogg"
    }
  ],
  "translations": [
    {
      "lang": "Englisch",
      "lang_code": "en",
      "sense_index": "1",
      "word": "anticommutative"
    },
    {
      "lang": "Französisch",
      "lang_code": "fr",
      "sense_index": "1",
      "word": "anticommutatif"
    },
    {
      "lang": "Schwedisch",
      "lang_code": "sv",
      "sense_index": "1",
      "word": "antikommutativ"
    }
  ],
  "word": "antikommutativ"
}

Download raw JSONL data for antikommutativ meaning in Deutsch (8.9kB)

This page is a part of the kaikki.org machine-readable Deutsch dictionary. This dictionary is based on structured data extracted on 2025-03-12 from the dewiktionary dump dated 2025-03-02 using wiktextract (f074e77 and 633533e). 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.

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