See direct system in All languages combined, or Wiktionary
{ "antonyms": [ { "word": "inverse system" } ], "forms": [ { "form": "direct systems", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "direct system (plural direct systems)", "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": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A set of algebraic structures (which are part of a concrete category; e.g., modules) and a set of morphisms between them (e.g., module homomorphisms) which all together form a small category which is the image of a covariant functor whose domain is a directed poset." ], "id": "en-direct_system-en-noun-QVCe-F6e", "links": [ [ "algebra", "algebra" ], [ "algebraic structure", "algebraic structure" ], [ "concrete category", "concrete category" ], [ "module homomorphism", "module homomorphism" ], [ "small category", "small category" ], [ "covariant functor", "covariant functor" ], [ "directed", "directed" ], [ "poset", "poset" ] ], "raw_glosses": [ "(algebra) A set of algebraic structures (which are part of a concrete category; e.g., modules) and a set of morphisms between them (e.g., module homomorphisms) which all together form a small category which is the image of a covariant functor whose domain is a directed poset." ], "topics": [ "algebra", "mathematics", "sciences" ], "wikipedia": [ "direct system" ] } ], "word": "direct system" }
{ "antonyms": [ { "word": "inverse system" } ], "forms": [ { "form": "direct systems", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "direct system (plural direct systems)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Algebra" ], "glosses": [ "A set of algebraic structures (which are part of a concrete category; e.g., modules) and a set of morphisms between them (e.g., module homomorphisms) which all together form a small category which is the image of a covariant functor whose domain is a directed poset." ], "links": [ [ "algebra", "algebra" ], [ "algebraic structure", "algebraic structure" ], [ "concrete category", "concrete category" ], [ "module homomorphism", "module homomorphism" ], [ "small category", "small category" ], [ "covariant functor", "covariant functor" ], [ "directed", "directed" ], [ "poset", "poset" ] ], "raw_glosses": [ "(algebra) A set of algebraic structures (which are part of a concrete category; e.g., modules) and a set of morphisms between them (e.g., module homomorphisms) which all together form a small category which is the image of a covariant functor whose domain is a directed poset." ], "topics": [ "algebra", "mathematics", "sciences" ], "wikipedia": [ "direct system" ] } ], "word": "direct system" }
Download raw JSONL data for direct system meaning in English (1.4kB)
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.
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.