See principal ideal domain in All languages combined, or Wiktionary
Download JSON data for principal ideal domain meaning in English (1.4kB)
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"An integral domain in which every ideal is a principal ideal."
],
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"sense": "integral domain",
"word": "commutative ring"
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{
"word": "Dedekind domain"
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{
"word": "principal ideal ring"
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{
"word": "Bézout domain"
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"(algebra) An integral domain in which every ideal is a principal ideal."
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"(algebra) An integral domain in which every ideal is a principal ideal."
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c 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.