"semimodule" meaning in English

See semimodule in All languages combined, or Wiktionary

Noun

Forms: semimodules [plural]
Etymology: semi- + module Etymology templates: {{prefix|en|semi|module}} semi- + module Head templates: {{en-noun}} semimodule (plural semimodules)
  1. (mathematics) A mathematical construct that resembles a module, except that the underlying abelian group is replaced with an abelian semigroup, so the elements do not necessarily have inverses. Categories (topical): Mathematics
    Sense id: en-semimodule-en-noun-dIa2pCCl Categories (other): English entries with incorrect language header, English terms prefixed with semi- Topics: mathematics, sciences

Inflected forms

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

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "semi",
        "3": "module"
      },
      "expansion": "semi- + module",
      "name": "prefix"
    }
  ],
  "etymology_text": "semi- + module",
  "forms": [
    {
      "form": "semimodules",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "semimodule (plural semimodules)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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          "source": "w"
        },
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          "name": "English terms prefixed with semi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A mathematical construct that resembles a module, except that the underlying abelian group is replaced with an abelian semigroup, so the elements do not necessarily have inverses."
      ],
      "id": "en-semimodule-en-noun-dIa2pCCl",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "module",
          "module"
        ],
        [
          "abelian group",
          "abelian group"
        ],
        [
          "semigroup",
          "semigroup"
        ],
        [
          "element",
          "element"
        ],
        [
          "inverse",
          "inverse"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A mathematical construct that resembles a module, except that the underlying abelian group is replaced with an abelian semigroup, so the elements do not necessarily have inverses."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "semimodule"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "semi",
        "3": "module"
      },
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    }
  ],
  "etymology_text": "semi- + module",
  "forms": [
    {
      "form": "semimodules",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "semimodule (plural semimodules)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with semi-",
        "en:Mathematics"
      ],
      "glosses": [
        "A mathematical construct that resembles a module, except that the underlying abelian group is replaced with an abelian semigroup, so the elements do not necessarily have inverses."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "module",
          "module"
        ],
        [
          "abelian group",
          "abelian group"
        ],
        [
          "semigroup",
          "semigroup"
        ],
        [
          "element",
          "element"
        ],
        [
          "inverse",
          "inverse"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A mathematical construct that resembles a module, except that the underlying abelian group is replaced with an abelian semigroup, so the elements do not necessarily have inverses."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "semimodule"
}

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.