"nilradical" meaning in English

See nilradical in All languages combined, or Wiktionary

Noun

Forms: nilradicals [plural]
Etymology: From nil + radical. Etymology templates: {{compound|en|nil|radical}} nil + radical Head templates: {{en-noun}} nilradical (plural nilradicals)
  1. (algebra) The set of nilpotent elements of an algebraic structure such as an ideal Wikipedia link: nilradical Categories (topical): Algebra, Mathematics, Ring theory
    Sense id: en-nilradical-en-noun-pK74NNgX Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: algebra, mathematics, sciences

Inflected forms

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      "args": {
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        "2": "nil",
        "3": "radical"
      },
      "expansion": "nil + radical",
      "name": "compound"
    }
  ],
  "etymology_text": "From nil + radical.",
  "forms": [
    {
      "form": "nilradicals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nilradical (plural nilradicals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
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        },
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          "kind": "other",
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Ring theory",
          "orig": "en:Ring theory",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The set of nilpotent elements of an algebraic structure such as an ideal"
      ],
      "id": "en-nilradical-en-noun-pK74NNgX",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "nilpotent",
          "nilpotent"
        ],
        [
          "ideal",
          "ideal"
        ]
      ],
      "raw_glosses": [
        "(algebra) The set of nilpotent elements of an algebraic structure such as an ideal"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
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      ]
    }
  ],
  "word": "nilradical"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "nil",
        "3": "radical"
      },
      "expansion": "nil + radical",
      "name": "compound"
    }
  ],
  "etymology_text": "From nil + radical.",
  "forms": [
    {
      "form": "nilradicals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nilradical (plural nilradicals)",
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  "pos": "noun",
  "senses": [
    {
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        "English compound terms",
        "English countable nouns",
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        "en:Algebra",
        "en:Mathematics",
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      ],
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        "The set of nilpotent elements of an algebraic structure such as an ideal"
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "nilpotent",
          "nilpotent"
        ],
        [
          "ideal",
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        ]
      ],
      "raw_glosses": [
        "(algebra) The set of nilpotent elements of an algebraic structure such as an ideal"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
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      ]
    }
  ],
  "word": "nilradical"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-10-22 from the enwiktionary dump dated 2024-10-02 using wiktextract (eaa6b66 and a709d4b). 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.