See finitely presented on Wiktionary
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"Isomorphic to the kernel of a morphism of free modules; such that there exists an exact sequence Rᵐ→Rⁿ→M→0 for some integers m,n."
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"(algebra, of a module M over a ring R) Isomorphic to the kernel of a morphism of free modules; such that there exists an exact sequence Rᵐ→Rⁿ→M→0 for some integers m,n."
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Download raw JSONL data for finitely presented meaning in All languages combined (1.1kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2026-01-03 from the enwiktionary dump dated 2026-01-01 using wiktextract (96027d6 and 9905b1f). 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.