"dialgebra" meaning in English

See dialgebra in All languages combined, or Wiktionary

Noun

Forms: dialgebras [plural]
Etymology: di- + algebra Etymology templates: {{prefix|en|di|algebra}} di- + algebra Head templates: {{en-noun}} dialgebra (plural dialgebras)
  1. (mathematics) Alternative form of bialgebra Tags: alt-of, alternative Alternative form of: bialgebra Categories (topical): Mathematics
    Sense id: en-dialgebra-en-noun-UItjrZLB Categories (other): English entries with incorrect language header, English terms prefixed with di- Topics: mathematics, sciences

Inflected forms

Download JSON data for dialgebra meaning in English (1.6kB)

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        "2": "di",
        "3": "algebra"
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      "expansion": "di- + algebra",
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    }
  ],
  "etymology_text": "di- + algebra",
  "forms": [
    {
      "form": "dialgebras",
      "tags": [
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  "head_templates": [
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  "pos": "noun",
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          "word": "bialgebra"
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        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Yong Zhang, Chengming Bai, Li Guo, “Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras”, in Science in China Math, volume 57, pages 259–273",
          "text": "We also show that a Rota-Baxter operator on a totally compatible Lie dialgebra gives rise to a PostLie algebra, generalizing the fact that a Rota-Baxter operator on a Lie algebra gives rise to a PostLie algebra..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Alternative form of bialgebra"
      ],
      "id": "en-dialgebra-en-noun-UItjrZLB",
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      "raw_glosses": [
        "(mathematics) Alternative form of bialgebra"
      ],
      "tags": [
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        "alternative"
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      "topics": [
        "mathematics",
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{
  "etymology_templates": [
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      "args": {
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  "etymology_text": "di- + algebra",
  "forms": [
    {
      "form": "dialgebras",
      "tags": [
        "plural"
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    }
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      "expansion": "dialgebra (plural dialgebras)",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "alt_of": [
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      "categories": [
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        {
          "ref": "2015, Yong Zhang, Chengming Bai, Li Guo, “Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras”, in Science in China Math, volume 57, pages 259–273",
          "text": "We also show that a Rota-Baxter operator on a totally compatible Lie dialgebra gives rise to a PostLie algebra, generalizing the fact that a Rota-Baxter operator on a Lie algebra gives rise to a PostLie algebra..",
          "type": "quotation"
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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 2024-05-03 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.