Artinian.
in which any descending chain of ideals eventually starts repeating.
Meaning & usage
in which any descending chain of ideals eventually starts repeating.
in which any descending chain of submodules eventually starts repeating.
Where this word comes from
From Artin + -ian, after Emil Artin, an Armenian-Austrian mathematician.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.