"cosemisimple" meaning in English

See cosemisimple in All languages combined, or Wiktionary

Adjective

Etymology: co- + semisimple Etymology templates: {{prefix|en|co|semisimple}} co- + semisimple Head templates: {{en-adj|-}} cosemisimple (not comparable)
  1. (mathematics) dual to something semisimple. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-cosemisimple-en-adj-moCjuMZw Categories (other): English entries with incorrect language header, English terms prefixed with co- Topics: mathematics, sciences

Download JSON data for cosemisimple meaning in English (1.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "semisimple"
      },
      "expansion": "co- + semisimple",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + semisimple",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "cosemisimple (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with co-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Iván Angiono, Agustín García Iglesias, “Liftings of Nichols algebras of diagonal type II. All liftings are cocycle deformations”, in arXiv",
          "text": "Let V be a braided vector space of diagonal type with a principal realization in the category of Yetter-Drinfeld modules of a cosemisimple Hopf algebra H and such that the Nichols algebra #x5C;mathfrak#x7B;B#x7D;(V) is finitely presented.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "dual to something semisimple."
      ],
      "id": "en-cosemisimple-en-adj-moCjuMZw",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "dual",
          "dual"
        ],
        [
          "semisimple",
          "semisimple"
        ]
      ],
      "raw_glosses": [
        "(mathematics) dual to something semisimple."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cosemisimple"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "semisimple"
      },
      "expansion": "co- + semisimple",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + semisimple",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "cosemisimple (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with co-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Iván Angiono, Agustín García Iglesias, “Liftings of Nichols algebras of diagonal type II. All liftings are cocycle deformations”, in arXiv",
          "text": "Let V be a braided vector space of diagonal type with a principal realization in the category of Yetter-Drinfeld modules of a cosemisimple Hopf algebra H and such that the Nichols algebra #x5C;mathfrak#x7B;B#x7D;(V) is finitely presented.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "dual to something semisimple."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "dual",
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        ],
        [
          "semisimple",
          "semisimple"
        ]
      ],
      "raw_glosses": [
        "(mathematics) dual to something semisimple."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cosemisimple"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.