"abelian" meaning in All languages combined

See abelian on Wiktionary

Adjective [English]

IPA: /əˈbi.li.ən/ [US], /əˈbil.jən/ [US], /əˈbiːlɪən/ [US] Audio: LL-Q1860 (eng)-Vealhurl-abelian.wav [Southern-England], LL-Q1860 (eng)-Vealhurl-abelian2.wav [Southern-England], en-ca-abelian.ogg [Canada]
Rhymes: -iən, -ɪljən Etymology: Name of the Norwegian mathematician Abel + -ian. Etymology templates: {{suffix|en||-ian}} + -ian Head templates: {{en-adj|-}} abelian (not comparable)
  1. (mathematics) Of an algebraic structure, having a commutative defining operation. Tags: not-comparable Categories (topical): Mathematics Translations (math: of a group): աբելյան (abelyan) (Armenian), abeldar (Basque), abelià (Catalan), commutatiu (Catalan), Abelova [feminine] (Czech), abelovská [feminine] (Czech), komutativní (Czech), abelsk (Danish), abels (Dutch), commutatief (Dutch), abela (Esperanto), Abeli (Estonian), kommutatiivne (Estonian), abelinen (Finnish), kommutatiivinen (Finnish), Abelin (as in Abelin ryhmä) (Finnish), abélien [masculine] (French), abélienne [feminine] (French), commutatif [masculine] (French), commutative [feminine] (French), abelsch (German), kommutativ (German), Abel- [masculine] (Icelandic), abelskur [masculine] (Icelandic), abeliano (Italian), abelsk (Norwegian Bokmål), kommutativ (Norwegian Bokmål), abelowa [feminine] (Polish), przemienna [feminine] (Polish), abeliano (Portuguese), а́белев (ábelev) (Russian), abeliano (Spanish), conmutativo (Spanish), abelsk (Swedish), kommutativ (Swedish)
    Sense id: en-abelian-en-adj-Ee~hfF3s Topics: mathematics, sciences Disambiguation of 'math: of a group': 65 35
  2. (mathematics) Of a binary function, commutative. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-abelian-en-adj-hCvI7LdQ Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English terms suffixed with -ian Disambiguation of English entries with incorrect language header: 16 84 Disambiguation of English entries with language name categories using raw markup: 25 75 Disambiguation of English terms suffixed with -ian: 19 81 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Related terms: Tauberian

Alternative forms

Download JSON data for abelian meaning in All languages combined (8.1kB)

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      "_dis1": "0 0",
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      "_dis1": "0 0",
      "word": "abelian operation"
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      "_dis1": "0 0",
      "word": "abelian ring"
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      "_dis1": "0 0",
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  "lang_code": "en",
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      "translations": [
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          "_dis1": "65 35",
          "code": "hy",
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          "roman": "abelyan",
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          "word": "աբելյան"
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          "word": "Abelova"
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          "_dis1": "65 35",
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          "code": "da",
          "lang": "Danish",
          "sense": "math: of a group",
          "word": "abelsk"
        },
        {
          "_dis1": "65 35",
          "code": "nl",
          "lang": "Dutch",
          "sense": "math: of a group",
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          "lang": "Dutch",
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          "lang": "Esperanto",
          "sense": "math: of a group",
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          "lang": "Estonian",
          "sense": "math: of a group",
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          "lang": "Icelandic",
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          "sense": "math: of a group",
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        },
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          "code": "it",
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          "sense": "math: of a group",
          "word": "abeliano"
        },
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          "sense": "math: of a group",
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        },
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          ],
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        },
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          "lang": "Polish",
          "sense": "math: of a group",
          "tags": [
            "feminine"
          ],
          "word": "przemienna"
        },
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          "code": "pt",
          "lang": "Portuguese",
          "sense": "math: of a group",
          "word": "abeliano"
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          "code": "ru",
          "lang": "Russian",
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    "abelian"
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      "sense": "math: of a group",
      "word": "abeldar"
    },
    {
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      "sense": "math: of a group",
      "word": "abelià"
    },
    {
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      "lang": "Catalan",
      "sense": "math: of a group",
      "word": "commutatiu"
    },
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      "lang": "Czech",
      "sense": "math: of a group",
      "tags": [
        "feminine"
      ],
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      "sense": "math: of a group",
      "tags": [
        "feminine"
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      "lang": "Czech",
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      "code": "nl",
      "lang": "Dutch",
      "sense": "math: of a group",
      "word": "commutatief"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "math: of a group",
      "word": "abela"
    },
    {
      "code": "et",
      "lang": "Estonian",
      "sense": "math: of a group",
      "word": "Abeli"
    },
    {
      "code": "et",
      "lang": "Estonian",
      "sense": "math: of a group",
      "word": "kommutatiivne"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "math: of a group",
      "word": "abelinen"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "math: of a group",
      "word": "kommutatiivinen"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "math: of a group",
      "word": "Abelin (as in Abelin ryhmä)"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "math: of a group",
      "tags": [
        "masculine"
      ],
      "word": "abélien"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "math: of a group",
      "tags": [
        "feminine"
      ],
      "word": "abélienne"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "math: of a group",
      "tags": [
        "masculine"
      ],
      "word": "commutatif"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "math: of a group",
      "tags": [
        "feminine"
      ],
      "word": "commutative"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "math: of a group",
      "word": "abelsch"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "math: of a group",
      "word": "kommutativ"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "math: of a group",
      "tags": [
        "masculine"
      ],
      "word": "Abel-"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "math: of a group",
      "tags": [
        "masculine"
      ],
      "word": "abelskur"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "math: of a group",
      "word": "abeliano"
    },
    {
      "code": "nb",
      "lang": "Norwegian Bokmål",
      "sense": "math: of a group",
      "word": "abelsk"
    },
    {
      "code": "nb",
      "lang": "Norwegian Bokmål",
      "sense": "math: of a group",
      "word": "kommutativ"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "math: of a group",
      "tags": [
        "feminine"
      ],
      "word": "abelowa"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "math: of a group",
      "tags": [
        "feminine"
      ],
      "word": "przemienna"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "math: of a group",
      "word": "abeliano"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "ábelev",
      "sense": "math: of a group",
      "word": "а́белев"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "math: of a group",
      "word": "abeliano"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "math: of a group",
      "word": "conmutativo"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "math: of a group",
      "word": "abelsk"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "math: of a group",
      "word": "kommutativ"
    }
  ],
  "wikipedia": [
    "Niels Henrik Abel",
    "abelian"
  ],
  "word": "abelian"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.