"Homomorphismus" meaning in All languages combined

See Homomorphismus on Wiktionary

Noun [Deutsch]

IPA: homomɔʁˈfɪsmʊs Audio: De-Homomorphismus.ogg Forms: der Homomorphismus [nominative, singular], die Homomorphismen [nominative, plural], des Homomorphismus [genitive, singular], der Homomorphismen [genitive, plural], dem Homomorphismus [dative, singular], den Homomorphismen [dative, plural], den Homomorphismus [accusative, singular], die Homomorphismen [accusative, plural]
Rhymes: ɪsmʊs Etymology: Dem Wort liegen homo- von altgriechisch ὁμός (homos^☆) ^(→ grc) „gleich“ und griechisch μορφή (morphē^☆) ^(→ grc) „Gestalt“ zugrunde.
  1. eine spezielle Abbildung einer algebraischen Ordnung in oder auf eine andere algebraische Ordnung
    Sense id: de-Homomorphismus-de-noun-GZ4xIMk3 Topics: mathematics
The following are not (yet) sense-disambiguated
Hyponyms: Gruppenhomomorphismus, Körperhomomorphismus, Ringhomomorphismus, Endomorphismus, Epimorphismus, Monomorphismus Derived forms: Homomorphie Translations: хомоморфизам (homomorfizam) [masculine] (Bosnisch), homomorphism (Englisch), homomorfio (Esperanto), homomorphisme [masculine] (Französisch), omomorfismo [masculine] (Italienisch), homomorfizam [masculine] (Kroatisch), хомоморфизам (homomorfizam) [masculine] (Mazedonisch), homomorfizm [masculine] (Polnisch), гомоморфизм (gomomorfizm) [masculine] (Russisch), homomorfism (Schwedisch), хомоморфизам (homomorfizam) [masculine] (Serbisch), хомоморфизам (homomorfizam) [masculine] (Serbokroatisch), homomorfizem [masculine] (Slowenisch), homomorfismo [masculine] (Spanisch), гомоморфізм [masculine] (Ukrainisch)

Inflected forms

{
  "categories": [
    {
      "kind": "other",
      "name": "Anagramm sortiert (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Deutsch",
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      "source": "w"
    },
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      "kind": "other",
      "name": "Einträge mit Endreim (Deutsch)",
      "parents": [],
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    },
    {
      "kind": "other",
      "name": "Grundformeintrag (Deutsch)",
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    },
    {
      "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": "Substantiv (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Substantiv m (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Wiktionary:Audio-Datei",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Siehe auch",
      "orig": "siehe auch",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Übersetzungen (Altgriechisch)",
      "parents": [],
      "source": "w"
    }
  ],
  "derived": [
    {
      "word": "Homomorphie"
    }
  ],
  "etymology_text": "Dem Wort liegen homo- von altgriechisch ὁμός (homos^☆) ^(→ grc) „gleich“ und griechisch μορφή (morphē^☆) ^(→ grc) „Gestalt“ zugrunde.",
  "forms": [
    {
      "form": "der Homomorphismus",
      "tags": [
        "nominative",
        "singular"
      ]
    },
    {
      "form": "die Homomorphismen",
      "tags": [
        "nominative",
        "plural"
      ]
    },
    {
      "form": "des Homomorphismus",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "der Homomorphismen",
      "tags": [
        "genitive",
        "plural"
      ]
    },
    {
      "form": "dem Homomorphismus",
      "tags": [
        "dative",
        "singular"
      ]
    },
    {
      "form": "den Homomorphismen",
      "tags": [
        "dative",
        "plural"
      ]
    },
    {
      "form": "den Homomorphismus",
      "tags": [
        "accusative",
        "singular"
      ]
    },
    {
      "form": "die Homomorphismen",
      "tags": [
        "accusative",
        "plural"
      ]
    }
  ],
  "hyphenation": "Ho·mo·mor·phis·mus",
  "hyponyms": [
    {
      "sense_index": "1",
      "word": "Gruppenhomomorphismus"
    },
    {
      "sense_index": "1",
      "word": "Körperhomomorphismus"
    },
    {
      "sense_index": "1",
      "word": "Ringhomomorphismus"
    },
    {
      "sense_index": "1",
      "word": "Endomorphismus"
    },
    {
      "sense_index": "1",
      "word": "Epimorphismus"
    },
    {
      "sense_index": "1",
      "word": "Monomorphismus"
    }
  ],
  "lang": "Deutsch",
  "lang_code": "de",
  "pos": "noun",
  "pos_title": "Substantiv",
  "senses": [
    {
      "examples": [
        {
          "ref": "Homomorphismen und Isomorphismen",
          "text": "„Es ist leicht nachzurechnen, daß die Nacheinanderanwendung von Homomorphismen (Isomorphismen) wieder ein Homomorphismus (Isomorphismus) ist.“"
        }
      ],
      "glosses": [
        "eine spezielle Abbildung einer algebraischen Ordnung in oder auf eine andere algebraische Ordnung"
      ],
      "id": "de-Homomorphismus-de-noun-GZ4xIMk3",
      "sense_index": "1",
      "topics": [
        "mathematics"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "homomɔʁˈfɪsmʊs"
    },
    {
      "audio": "De-Homomorphismus.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/76/De-Homomorphismus.ogg/De-Homomorphismus.ogg.mp3",
      "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-Homomorphismus.ogg"
    },
    {
      "rhymes": "ɪsmʊs"
    }
  ],
  "tags": [
    "masculine"
  ],
  "translations": [
    {
      "lang": "Bosnisch",
      "lang_code": "bs",
      "roman": "homomorfizam",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "хомоморфизам"
    },
    {
      "lang": "Englisch",
      "lang_code": "en",
      "sense_index": "1",
      "word": "homomorphism"
    },
    {
      "lang": "Esperanto",
      "lang_code": "eo",
      "sense_index": "1",
      "word": "homomorfio"
    },
    {
      "lang": "Französisch",
      "lang_code": "fr",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "homomorphisme"
    },
    {
      "lang": "Italienisch",
      "lang_code": "it",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "omomorfismo"
    },
    {
      "lang": "Kroatisch",
      "lang_code": "hr",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "homomorfizam"
    },
    {
      "lang": "Mazedonisch",
      "lang_code": "mk",
      "roman": "homomorfizam",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "хомоморфизам"
    },
    {
      "lang": "Polnisch",
      "lang_code": "pl",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "homomorfizm"
    },
    {
      "lang": "Russisch",
      "lang_code": "ru",
      "roman": "gomomorfizm",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "гомоморфизм"
    },
    {
      "lang": "Schwedisch",
      "lang_code": "sv",
      "sense_index": "1",
      "word": "homomorfism"
    },
    {
      "lang": "Serbisch",
      "lang_code": "sr",
      "roman": "homomorfizam",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "хомоморфизам"
    },
    {
      "lang": "Serbokroatisch",
      "lang_code": "sh",
      "roman": "homomorfizam",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "хомоморфизам"
    },
    {
      "lang": "Slowenisch",
      "lang_code": "sl",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "homomorfizem"
    },
    {
      "lang": "Spanisch",
      "lang_code": "es",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "homomorfismo"
    },
    {
      "lang": "Ukrainisch",
      "lang_code": "uk",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "гомоморфізм"
    }
  ],
  "word": "Homomorphismus"
}
{
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    "Deutsch",
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    "Grundformeintrag (Deutsch)",
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    "Übersetzungen (Altgriechisch)"
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  ],
  "etymology_text": "Dem Wort liegen homo- von altgriechisch ὁμός (homos^☆) ^(→ grc) „gleich“ und griechisch μορφή (morphē^☆) ^(→ grc) „Gestalt“ zugrunde.",
  "forms": [
    {
      "form": "der Homomorphismus",
      "tags": [
        "nominative",
        "singular"
      ]
    },
    {
      "form": "die Homomorphismen",
      "tags": [
        "nominative",
        "plural"
      ]
    },
    {
      "form": "des Homomorphismus",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "der Homomorphismen",
      "tags": [
        "genitive",
        "plural"
      ]
    },
    {
      "form": "dem Homomorphismus",
      "tags": [
        "dative",
        "singular"
      ]
    },
    {
      "form": "den Homomorphismen",
      "tags": [
        "dative",
        "plural"
      ]
    },
    {
      "form": "den Homomorphismus",
      "tags": [
        "accusative",
        "singular"
      ]
    },
    {
      "form": "die Homomorphismen",
      "tags": [
        "accusative",
        "plural"
      ]
    }
  ],
  "hyphenation": "Ho·mo·mor·phis·mus",
  "hyponyms": [
    {
      "sense_index": "1",
      "word": "Gruppenhomomorphismus"
    },
    {
      "sense_index": "1",
      "word": "Körperhomomorphismus"
    },
    {
      "sense_index": "1",
      "word": "Ringhomomorphismus"
    },
    {
      "sense_index": "1",
      "word": "Endomorphismus"
    },
    {
      "sense_index": "1",
      "word": "Epimorphismus"
    },
    {
      "sense_index": "1",
      "word": "Monomorphismus"
    }
  ],
  "lang": "Deutsch",
  "lang_code": "de",
  "pos": "noun",
  "pos_title": "Substantiv",
  "senses": [
    {
      "examples": [
        {
          "ref": "Homomorphismen und Isomorphismen",
          "text": "„Es ist leicht nachzurechnen, daß die Nacheinanderanwendung von Homomorphismen (Isomorphismen) wieder ein Homomorphismus (Isomorphismus) ist.“"
        }
      ],
      "glosses": [
        "eine spezielle Abbildung einer algebraischen Ordnung in oder auf eine andere algebraische Ordnung"
      ],
      "sense_index": "1",
      "topics": [
        "mathematics"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "homomɔʁˈfɪsmʊs"
    },
    {
      "audio": "De-Homomorphismus.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/76/De-Homomorphismus.ogg/De-Homomorphismus.ogg.mp3",
      "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-Homomorphismus.ogg"
    },
    {
      "rhymes": "ɪsmʊs"
    }
  ],
  "tags": [
    "masculine"
  ],
  "translations": [
    {
      "lang": "Bosnisch",
      "lang_code": "bs",
      "roman": "homomorfizam",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "хомоморфизам"
    },
    {
      "lang": "Englisch",
      "lang_code": "en",
      "sense_index": "1",
      "word": "homomorphism"
    },
    {
      "lang": "Esperanto",
      "lang_code": "eo",
      "sense_index": "1",
      "word": "homomorfio"
    },
    {
      "lang": "Französisch",
      "lang_code": "fr",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "homomorphisme"
    },
    {
      "lang": "Italienisch",
      "lang_code": "it",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "omomorfismo"
    },
    {
      "lang": "Kroatisch",
      "lang_code": "hr",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "homomorfizam"
    },
    {
      "lang": "Mazedonisch",
      "lang_code": "mk",
      "roman": "homomorfizam",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "хомоморфизам"
    },
    {
      "lang": "Polnisch",
      "lang_code": "pl",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "homomorfizm"
    },
    {
      "lang": "Russisch",
      "lang_code": "ru",
      "roman": "gomomorfizm",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "гомоморфизм"
    },
    {
      "lang": "Schwedisch",
      "lang_code": "sv",
      "sense_index": "1",
      "word": "homomorfism"
    },
    {
      "lang": "Serbisch",
      "lang_code": "sr",
      "roman": "homomorfizam",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "хомоморфизам"
    },
    {
      "lang": "Serbokroatisch",
      "lang_code": "sh",
      "roman": "homomorfizam",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "хомоморфизам"
    },
    {
      "lang": "Slowenisch",
      "lang_code": "sl",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "homomorfizem"
    },
    {
      "lang": "Spanisch",
      "lang_code": "es",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "homomorfismo"
    },
    {
      "lang": "Ukrainisch",
      "lang_code": "uk",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "гомоморфізм"
    }
  ],
  "word": "Homomorphismus"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-02-25 from the dewiktionary dump dated 2025-02-21 using wiktextract (ce0be54 and f2e72e5). 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.