See Leibniz algebra in All languages combined, or Wiktionary
{ "etymology_text": "Named after Gottfried Wilhelm Leibniz.", "forms": [ { "form": "Leibniz algebras", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Leibniz algebra (plural Leibniz algebras)", "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": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "derived": [ { "word": "Zinbiel algebra" } ], "glosses": [ "A module over a commutative ring with a bilinear product satisfying the Leibniz identity." ], "id": "en-Leibniz_algebra-en-noun-SHEqANxu", "links": [ [ "mathematics", "mathematics" ], [ "module", "module" ], [ "commutative ring", "commutative ring" ], [ "bilinear", "bilinear" ], [ "product", "product" ], [ "Leibniz identity", "Leibniz identity" ] ], "raw_glosses": [ "(mathematics) A module over a commutative ring with a bilinear product satisfying the Leibniz identity." ], "synonyms": [ { "word": "Loday algebra" } ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Gottfried Wilhelm Leibniz", "Leibniz algebra" ] } ], "word": "Leibniz algebra" }
{ "derived": [ { "word": "Zinbiel algebra" } ], "etymology_text": "Named after Gottfried Wilhelm Leibniz.", "forms": [ { "form": "Leibniz algebras", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Leibniz algebra (plural Leibniz algebras)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "glosses": [ "A module over a commutative ring with a bilinear product satisfying the Leibniz identity." ], "links": [ [ "mathematics", "mathematics" ], [ "module", "module" ], [ "commutative ring", "commutative ring" ], [ "bilinear", "bilinear" ], [ "product", "product" ], [ "Leibniz identity", "Leibniz identity" ] ], "raw_glosses": [ "(mathematics) A module over a commutative ring with a bilinear product satisfying the Leibniz identity." ], "synonyms": [ { "word": "Loday algebra" } ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Gottfried Wilhelm Leibniz", "Leibniz algebra" ] } ], "word": "Leibniz algebra" }
Download raw JSONL data for Leibniz algebra meaning in English (1.1kB)
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.