See right ideal in All languages combined, or Wiktionary
Download JSON data for right ideal meaning in English (1.2kB)
{ "forms": [ { "form": "right ideals", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "right ideal (plural right ideals)", "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": "topical", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "coordinate_terms": [ { "word": "left ideal" } ], "examples": [ { "text": "If I is a right ideal of R then Ir⊆I for any r isin R." } ], "glosses": [ "A subring which is closed under right-multiplication by any element of the ring." ], "hypernyms": [ { "word": "subring" } ], "hyponyms": [ { "word": "two-sided ideal" } ], "id": "en-right_ideal-en-noun-6l0S9332", "links": [ [ "algebra", "algebra" ], [ "subring", "subring" ] ], "raw_glosses": [ "(algebra) A subring which is closed under right-multiplication by any element of the ring." ], "topics": [ "algebra", "mathematics", "sciences" ] } ], "word": "right ideal" }
{ "coordinate_terms": [ { "word": "left ideal" } ], "forms": [ { "form": "right ideals", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "right ideal (plural right ideals)", "name": "en-noun" } ], "hypernyms": [ { "word": "subring" } ], "hyponyms": [ { "word": "two-sided ideal" } ], "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", "en:Algebra" ], "examples": [ { "text": "If I is a right ideal of R then Ir⊆I for any r isin R." } ], "glosses": [ "A subring which is closed under right-multiplication by any element of the ring." ], "links": [ [ "algebra", "algebra" ], [ "subring", "subring" ] ], "raw_glosses": [ "(algebra) A subring which is closed under right-multiplication by any element of the ring." ], "topics": [ "algebra", "mathematics", "sciences" ] } ], "word": "right ideal" }
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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.