See semilattice in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "semi", "3": "lattice" }, "expansion": "semi- + lattice", "name": "prefix" } ], "etymology_text": "From semi- + lattice.", "forms": [ { "form": "semilattices", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "semilattice (plural semilattices)", "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 semi-", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A partially ordered set that either has a join (a least upper bound) for any nonempty finite subset (a join-semilattice or upper semilattice) or has a meet (or greatest lower bound) for any nonempty finite subset (a meet-semilattice or lower semilattice). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent." ], "id": "en-semilattice-en-noun-UIOLCT3a", "links": [ [ "mathematics", "mathematics" ], [ "partially ordered set", "partially ordered set" ], [ "join", "join" ], [ "meet", "meet" ], [ "underlying set", "underlying set" ], [ "idempotent", "idempotent" ], [ "Vaughan Pratt", "w:Vaughan Pratt" ] ], "raw_glosses": [ "(mathematics) A partially ordered set that either has a join (a least upper bound) for any nonempty finite subset (a join-semilattice or upper semilattice) or has a meet (or greatest lower bound) for any nonempty finite subset (a meet-semilattice or lower semilattice). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "semilattice" ] } ], "word": "semilattice" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "semi", "3": "lattice" }, "expansion": "semi- + lattice", "name": "prefix" } ], "etymology_text": "From semi- + lattice.", "forms": [ { "form": "semilattices", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "semilattice (plural semilattices)", "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-", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "glosses": [ "A partially ordered set that either has a join (a least upper bound) for any nonempty finite subset (a join-semilattice or upper semilattice) or has a meet (or greatest lower bound) for any nonempty finite subset (a meet-semilattice or lower semilattice). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent." ], "links": [ [ "mathematics", "mathematics" ], [ "partially ordered set", "partially ordered set" ], [ "join", "join" ], [ "meet", "meet" ], [ "underlying set", "underlying set" ], [ "idempotent", "idempotent" ], [ "Vaughan Pratt", "w:Vaughan Pratt" ] ], "raw_glosses": [ "(mathematics) A partially ordered set that either has a join (a least upper bound) for any nonempty finite subset (a join-semilattice or upper semilattice) or has a meet (or greatest lower bound) for any nonempty finite subset (a meet-semilattice or lower semilattice). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "semilattice" ] } ], "word": "semilattice" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.
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