See division ring on Wiktionary
{ "forms": [ { "form": "division rings", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "division ring (plural division rings)", "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": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Czech translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Dutch translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Polish translations", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Ring theory", "orig": "en:Ring theory", "parents": [ "Algebra", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = 1." ], "hypernyms": [ { "word": "noncommutative ring" } ], "hyponyms": [ { "word": "division algebra" }, { "word": "field" } ], "id": "en-division_ring-en-noun-h7OB1~Un", "links": [ [ "algebra", "algebra" ], [ "ring", "ring#English" ], [ "multiplicative inverse", "multiplicative inverse" ] ], "raw_glosses": [ "(algebra) A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = 1." ], "synonyms": [ { "word": "skew field" } ], "topics": [ "algebra", "mathematics", "sciences" ], "translations": [ { "code": "cs", "lang": "Czech", "sense": "algebraic concept", "tags": [ "neuter" ], "word": "těleso" }, { "code": "nl", "lang": "Dutch", "sense": "algebraic concept", "tags": [ "Belgium", "neuter" ], "word": "lichaam" }, { "code": "nl", "lang": "Dutch", "sense": "algebraic concept", "tags": [ "Netherlands", "neuter" ], "word": "scheef lichaam" }, { "code": "fi", "lang": "Finnish", "sense": "algebraic concept", "word": "jakorengas" }, { "code": "fr", "lang": "French", "sense": "algebraic concept", "tags": [ "masculine" ], "word": "anneau à division" }, { "code": "fr", "lang": "French", "sense": "algebraic concept", "tags": [ "masculine" ], "word": "corps gauche" }, { "code": "fr", "lang": "French", "sense": "algebraic concept", "tags": [ "masculine" ], "word": "corps non commutatif" }, { "code": "fr", "lang": "French", "sense": "algebraic concept", "tags": [ "masculine" ], "word": "corps" }, { "code": "pl", "lang": "Polish", "sense": "algebraic concept", "tags": [ "masculine" ], "word": "pierścień z dzieleniem" }, { "code": "pl", "lang": "Polish", "sense": "algebraic concept", "tags": [ "dated", "neuter" ], "word": "ciało nieprzemienne" } ], "wikipedia": [ "division ring" ] } ], "word": "division ring" }
{ "forms": [ { "form": "division rings", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "division ring (plural division rings)", "name": "en-noun" } ], "hypernyms": [ { "word": "noncommutative ring" } ], "hyponyms": [ { "word": "division algebra" }, { "word": "field" } ], "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", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Czech translations", "Terms with Dutch translations", "Terms with Finnish translations", "Terms with French translations", "Terms with Polish translations", "en:Algebra", "en:Ring theory" ], "glosses": [ "A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = 1." ], "links": [ [ "algebra", "algebra" ], [ "ring", "ring#English" ], [ "multiplicative inverse", "multiplicative inverse" ] ], "raw_glosses": [ "(algebra) A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = 1." ], "topics": [ "algebra", "mathematics", "sciences" ], "wikipedia": [ "division ring" ] } ], "synonyms": [ { "word": "skew field" } ], "translations": [ { "code": "cs", "lang": "Czech", "sense": "algebraic concept", "tags": [ "neuter" ], "word": "těleso" }, { "code": "nl", "lang": "Dutch", "sense": "algebraic concept", "tags": [ "Belgium", "neuter" ], "word": "lichaam" }, { "code": "nl", "lang": "Dutch", "sense": "algebraic concept", "tags": [ "Netherlands", "neuter" ], "word": "scheef lichaam" }, { "code": "fi", "lang": "Finnish", "sense": "algebraic concept", "word": "jakorengas" }, { "code": "fr", "lang": "French", "sense": "algebraic concept", "tags": [ "masculine" ], "word": "anneau à division" }, { "code": "fr", "lang": "French", "sense": "algebraic concept", "tags": [ "masculine" ], "word": "corps gauche" }, { "code": "fr", "lang": "French", "sense": "algebraic concept", "tags": [ "masculine" ], "word": "corps non commutatif" }, { "code": "fr", "lang": "French", "sense": "algebraic concept", "tags": [ "masculine" ], "word": "corps" }, { "code": "pl", "lang": "Polish", "sense": "algebraic concept", "tags": [ "masculine" ], "word": "pierścień z dzieleniem" }, { "code": "pl", "lang": "Polish", "sense": "algebraic concept", "tags": [ "dated", "neuter" ], "word": "ciało nieprzemienne" } ], "word": "division ring" }
Download raw JSONL data for division ring meaning in All languages combined (2.4kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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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