"antimorphism" meaning in All languages combined

See antimorphism on Wiktionary

Noun [English]

Forms: antimorphisms [plural]
Etymology: anti- + morphism Etymology templates: {{prefix|en|anti|morphism}} anti- + morphism Head templates: {{en-noun}} antimorphism (plural antimorphisms)
  1. (mathematics) An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order. Categories (topical): Mathematics
    Sense id: en-antimorphism-en-noun--1r3UJko Categories (other): English entries with incorrect language header, English terms prefixed with anti- Topics: mathematics, sciences

Inflected forms

Download JSON data for antimorphism meaning in All languages combined (2.1kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "anti",
        "3": "morphism"
      },
      "expansion": "anti- + morphism",
      "name": "prefix"
    }
  ],
  "etymology_text": "anti- + morphism",
  "forms": [
    {
      "form": "antimorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "antimorphism (plural antimorphisms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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 anti-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1960, Indian Mathematical Society, Journal: New series, volume 24, page 602",
          "text": "The transform u^λ of an element u of A by an automorphism or antimorphism of A has the same spectrum Sᵤ and the same minimal polynomial as u, and is semisimple if u is so.",
          "type": "quotation"
        },
        {
          "ref": "2007, Michael Winter, Goguen Categories: A Categorical Approach to L-fuzzy Relations, page 26",
          "text": "The meet of a set of antimorphisms is again an antimorphism.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order."
      ],
      "id": "en-antimorphism-en-noun--1r3UJko",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "isomorphism",
          "isomorphism"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "object",
          "object"
        ],
        [
          "system",
          "system"
        ],
        [
          "image",
          "image"
        ],
        [
          "product",
          "product"
        ],
        [
          "value",
          "value"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "antimorphism"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "anti",
        "3": "morphism"
      },
      "expansion": "anti- + morphism",
      "name": "prefix"
    }
  ],
  "etymology_text": "anti- + morphism",
  "forms": [
    {
      "form": "antimorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "antimorphism (plural antimorphisms)",
      "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 anti-",
        "English terms with quotations",
        "Quotation templates to be cleaned",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1960, Indian Mathematical Society, Journal: New series, volume 24, page 602",
          "text": "The transform u^λ of an element u of A by an automorphism or antimorphism of A has the same spectrum Sᵤ and the same minimal polynomial as u, and is semisimple if u is so.",
          "type": "quotation"
        },
        {
          "ref": "2007, Michael Winter, Goguen Categories: A Categorical Approach to L-fuzzy Relations, page 26",
          "text": "The meet of a set of antimorphisms is again an antimorphism.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "isomorphism",
          "isomorphism"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "object",
          "object"
        ],
        [
          "system",
          "system"
        ],
        [
          "image",
          "image"
        ],
        [
          "product",
          "product"
        ],
        [
          "value",
          "value"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "antimorphism"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.