"Hom" meaning in Translingual

See Hom in All languages combined, or Wiktionary

Symbol

Etymology: From homomorphism (or a cognate word). Etymology templates: {{m|en|homomorphism}} homomorphism Head templates: {{head|mul|symbol}} Hom
  1. (mathematics, chiefly category theory) The set of morphisms between two specific objects. Categories (topical): Category theory, Mathematics Synonyms: Mor

Download JSON data for Hom meaning in Translingual (1.4kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "homomorphism"
      },
      "expansion": "homomorphism",
      "name": "m"
    }
  ],
  "etymology_text": "From homomorphism (or a cognate word).",
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "2": "symbol"
      },
      "expansion": "Hom",
      "name": "head"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "symbol",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Translingual entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "mul",
          "name": "Category theory",
          "orig": "mul:Category theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
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            "Fundamental"
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        },
        {
          "kind": "topical",
          "langcode": "mul",
          "name": "Mathematics",
          "orig": "mul:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Hom(U⊗V,W)≅Hom(U,Hom(V,W))."
        }
      ],
      "glosses": [
        "The set of morphisms between two specific objects."
      ],
      "id": "en-Hom-mul-symbol-AZjs291l",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "category theory",
          "category theory"
        ],
        [
          "morphism",
          "morphism"
        ]
      ],
      "raw_glosses": [
        "(mathematics, chiefly category theory) The set of morphisms between two specific objects."
      ],
      "synonyms": [
        {
          "word": "Mor"
        }
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "word": "Hom"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "homomorphism"
      },
      "expansion": "homomorphism",
      "name": "m"
    }
  ],
  "etymology_text": "From homomorphism (or a cognate word).",
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "2": "symbol"
      },
      "expansion": "Hom",
      "name": "head"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "symbol",
  "senses": [
    {
      "categories": [
        "Translingual entries with incorrect language header",
        "Translingual lemmas",
        "Translingual symbols",
        "mul:Category theory",
        "mul:Mathematics"
      ],
      "examples": [
        {
          "text": "Hom(U⊗V,W)≅Hom(U,Hom(V,W))."
        }
      ],
      "glosses": [
        "The set of morphisms between two specific objects."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
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          "category theory"
        ],
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        ]
      ],
      "raw_glosses": [
        "(mathematics, chiefly category theory) The set of morphisms between two specific objects."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Mor"
    }
  ],
  "word": "Hom"
}

This page is a part of the kaikki.org machine-readable Translingual dictionary. This dictionary is based on structured data extracted on 2024-05-12 from the enwiktionary dump dated 2024-05-02 using wiktextract (ae36afe and 304864d). 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.