"pseudovariety" meaning in English

See pseudovariety in All languages combined, or Wiktionary

Noun

Forms: pseudovarieties [plural]
Etymology: pseudo- + variety Etymology templates: {{prefix|en|pseudo|variety}} pseudo- + variety Head templates: {{en-noun}} pseudovariety (plural pseudovarieties)
  1. (mathematics) A class of algebras of a given signature, closed under the taking of homomorphic images, subalgebras and finitary direct products. Categories (topical): Mathematics
    Sense id: en-pseudovariety-en-noun-l3fZOXaV Categories (other): English entries with incorrect language header, English terms prefixed with pseudo- Topics: mathematics, sciences

Inflected forms

Download JSON data for pseudovariety meaning in English (1.7kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "pseudo",
        "3": "variety"
      },
      "expansion": "pseudo- + variety",
      "name": "prefix"
    }
  ],
  "etymology_text": "pseudo- + variety",
  "forms": [
    {
      "form": "pseudovarieties",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "pseudovariety (plural pseudovarieties)",
      "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",
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          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with pseudo-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Pseudovarieties are of particular importance in the study of finite semigroups and hence in formal language theory."
        }
      ],
      "glosses": [
        "A class of algebras of a given signature, closed under the taking of homomorphic images, subalgebras and finitary direct products."
      ],
      "id": "en-pseudovariety-en-noun-l3fZOXaV",
      "links": [
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        [
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        ],
        [
          "signature",
          "signature"
        ],
        [
          "closed",
          "closed"
        ],
        [
          "homomorphic",
          "homomorphic"
        ],
        [
          "image",
          "image"
        ],
        [
          "subalgebra",
          "subalgebra"
        ],
        [
          "finitary",
          "finitary"
        ],
        [
          "direct product",
          "direct product"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A class of algebras of a given signature, closed under the taking of homomorphic images, subalgebras and finitary direct products."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "pseudovariety"
}
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      "name": "prefix"
    }
  ],
  "etymology_text": "pseudo- + variety",
  "forms": [
    {
      "form": "pseudovarieties",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "pseudovariety (plural pseudovarieties)",
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  "lang": "English",
  "lang_code": "en",
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  "senses": [
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      "examples": [
        {
          "text": "Pseudovarieties are of particular importance in the study of finite semigroups and hence in formal language theory."
        }
      ],
      "glosses": [
        "A class of algebras of a given signature, closed under the taking of homomorphic images, subalgebras and finitary direct products."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
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        ],
        [
          "algebra",
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        ],
        [
          "signature",
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        ],
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        ],
        [
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          "homomorphic"
        ],
        [
          "image",
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        ],
        [
          "subalgebra",
          "subalgebra"
        ],
        [
          "finitary",
          "finitary"
        ],
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          "direct product",
          "direct product"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A class of algebras of a given signature, closed under the taking of homomorphic images, subalgebras and finitary direct products."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "pseudovariety"
}

This page is a part of the kaikki.org machine-readable English 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.