See Jacobson radical on Wiktionary
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"The operation that produces (from a given ring) the ideal of elements which annihilates all simple modules (over the given ring); the result of this operation. The Jacobson radical of a ring R is denoted J(R)."
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"(mathematics, ring theory) The operation that produces (from a given ring) the ideal of elements which annihilates all simple modules (over the given ring); the result of this operation. The Jacobson radical of a ring R is denoted J(R)."
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Download raw JSONL data for Jacobson radical meaning in All languages combined (1.2kB)
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.