"pseudovariety" meaning in All languages combined

See pseudovariety on Wiktionary

Noun [English]

Forms: pseudovarieties [plural]
Etymology: From 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-, Pages with 1 entry Topics: mathematics, sciences

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "pseudo",
        "3": "variety"
      },
      "expansion": "pseudo- + variety",
      "name": "prefix"
    }
  ],
  "etymology_text": "From 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",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with pseudo-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "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.",
          "type": "example"
        }
      ],
      "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": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "class",
          "class"
        ],
        [
          "algebra",
          "algebra"
        ],
        [
          "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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      "args": {
        "1": "en",
        "2": "pseudo",
        "3": "variety"
      },
      "expansion": "pseudo- + variety",
      "name": "prefix"
    }
  ],
  "etymology_text": "From 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": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with pseudo-",
        "English terms with usage examples",
        "Pages with 1 entry",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "Pseudovarieties are of particular importance in the study of finite semigroups and hence in formal language theory.",
          "type": "example"
        }
      ],
      "glosses": [
        "A class of algebras of a given signature, closed under the taking of homomorphic images, subalgebras and finitary direct products."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "class",
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        ],
        [
          "algebra",
          "algebra"
        ],
        [
          "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"
}

Download raw JSONL data for pseudovariety meaning in All languages combined (1.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.