See left ideal on Wiktionary
{
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"form": "left ideals",
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"expansion": "left ideal (plural left ideals)",
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"coordinate_terms": [
{
"word": "right ideal"
}
],
"examples": [
{
"text": "If I is a left ideal of R then rI⊆I for any r isin R."
}
],
"glosses": [
"A subset of a ring which is closed under left-multiplication by any element of the ring."
],
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"word": "two-sided ideal"
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"id": "en-left_ideal-en-noun-Ru-76cX-",
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"raw_glosses": [
"(algebra) A subset of a ring which is closed under left-multiplication by any element of the ring."
],
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"word": "left ideal"
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{
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"examples": [
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"text": "If I is a left ideal of R then rI⊆I for any r isin R."
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"A subset of a ring which is closed under left-multiplication by any element of the ring."
],
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"raw_glosses": [
"(algebra) A subset of a ring which is closed under left-multiplication by any element of the ring."
],
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"word": "left ideal"
}
Download raw JSONL data for left ideal meaning in All languages combined (1.0kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-25 from the enwiktionary dump dated 2025-01-20 using wiktextract (c15a5ce and 5c11237). 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.