Abel's irreducibility theorem in English

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{
  "etymology_text": "Described in 1829 by Niels Henrik Abel.",
  "head_templates": [
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      "expansion": "Abel's irreducibility theorem",
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      "glosses": [
        "A field theory result asserting that if ƒ(x) is a polynomial over a field F that shares a root with a polynomial g(x) that is irreducible over F, then every root of g(x) is a root of ƒ(x)."
      ],
      "id": "en-Abel's_irreducibility_theorem-en-name-KWegiuRr",
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          "polynomial",
          "polynomial"
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        [
          "root",
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        [
          "irreducible",
          "irreducible"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A field theory result asserting that if ƒ(x) is a polynomial over a field F that shares a root with a polynomial g(x) that is irreducible over F, then every root of g(x) is a root of ƒ(x)."
      ],
      "topics": [
        "mathematics",
        "sciences"
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      "wikipedia": [
        "Niels Henrik Abel"
      ]
    }
  ],
  "word": "Abel's irreducibility theorem"
}

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{
  "etymology_text": "Described in 1829 by Niels Henrik Abel.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Abel's irreducibility theorem",
      "name": "en-prop"
    }
  ],
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  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
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        "English entries with language name categories using raw markup",
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        "English terms with non-redundant non-automated sortkeys",
        "English uncountable nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "A field theory result asserting that if ƒ(x) is a polynomial over a field F that shares a root with a polynomial g(x) that is irreducible over F, then every root of g(x) is a root of ƒ(x)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "field theory",
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        [
          "root",
          "root"
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        [
          "irreducible",
          "irreducible"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A field theory result asserting that if ƒ(x) is a polynomial over a field F that shares a root with a polynomial g(x) that is irreducible over F, then every root of g(x) is a root of ƒ(x)."
      ],
      "topics": [
        "mathematics",
        "sciences"
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      "wikipedia": [
        "Niels Henrik Abel"
      ]
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  ],
  "word": "Abel's irreducibility theorem"
}

This page is a part of the kaikki.org machine-readable English 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.

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"Abel's irreducibility theorem" meaning in English

Proper name