"quasiderivation" meaning in All languages combined

See quasiderivation on Wiktionary

Noun [English]

Forms: quasiderivations [plural]
Etymology: quasi- + derivation Etymology templates: {{prefix|en|quasi|derivation}} quasi- + derivation Head templates: {{en-noun}} quasiderivation (plural quasiderivations)
  1. (mathematics) Tags: empty-gloss, no-gloss Categories (topical): Mathematics
    Sense id: en-quasiderivation-en-noun-47DEQpj8 Categories (other): English entries with incorrect language header, English terms prefixed with quasi- Topics: mathematics, sciences

Inflected forms

Download JSON data for quasiderivation meaning in All languages combined (1.8kB)

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      "args": {
        "1": "en",
        "2": "quasi",
        "3": "derivation"
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      "expansion": "quasi- + derivation",
      "name": "prefix"
    }
  ],
  "etymology_text": "quasi- + derivation",
  "forms": [
    {
      "form": "quasiderivations",
      "tags": [
        "plural"
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  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "quasiderivation (plural quasiderivations)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
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      "examples": [
        {
          "ref": "2016, Ruipu Bai, Qiyong Li, Kai Zhang, “Generalized derivations of 3-Lie algebras”, in arXiv",
          "text": "The main results are: for all 3-Lie algebra A, 1) the generalized derivation algebra GDer(A) is the sum of quasiderivation algebra QDer(A) and quasicentroid Q#x5C;Gamma(A); 2) quasiderivations of A can be embedded as derivations in a larger algebra; 3) quasiderivation algebra QDer(A) normalizer quasicentroid, that is, #x5B;QDer(A),Q#x5C;Gamma(A)#x5D;#x5C;subseteqQ#x5C;Gamma(A); 4) if A contains a maximal diagonalized tours T, then QDer(A) and Q#x5C;Gamma(A) are diagonalized T-modules, that is, as T-modules, (T,T) semi-simplely acts on QDer(A) and Q#x5C;Gamma(A), respectively..",
          "type": "quotation"
        }
      ],
      "id": "en-quasiderivation-en-noun-47DEQpj8",
      "links": [
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          "mathematics"
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  "word": "quasiderivation"
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  "etymology_text": "quasi- + derivation",
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    {
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      "tags": [
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      ]
    }
  ],
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      "expansion": "quasiderivation (plural quasiderivations)",
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          "ref": "2016, Ruipu Bai, Qiyong Li, Kai Zhang, “Generalized derivations of 3-Lie algebras”, in arXiv",
          "text": "The main results are: for all 3-Lie algebra A, 1) the generalized derivation algebra GDer(A) is the sum of quasiderivation algebra QDer(A) and quasicentroid Q#x5C;Gamma(A); 2) quasiderivations of A can be embedded as derivations in a larger algebra; 3) quasiderivation algebra QDer(A) normalizer quasicentroid, that is, #x5B;QDer(A),Q#x5C;Gamma(A)#x5D;#x5C;subseteqQ#x5C;Gamma(A); 4) if A contains a maximal diagonalized tours T, then QDer(A) and Q#x5C;Gamma(A) are diagonalized T-modules, that is, as T-modules, (T,T) semi-simplely acts on QDer(A) and Q#x5C;Gamma(A), respectively..",
          "type": "quotation"
        }
      ],
      "links": [
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  "word": "quasiderivation"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-21 from the enwiktionary dump dated 2024-06-06 using wiktextract (6c02f21 and 0136956). 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.