"Noetherian module" meaning in All languages combined

See Noetherian module on Wiktionary

Noun [English]

Forms: Noetherian modules [plural]
Head templates: {{en-noun}} Noetherian module (plural Noetherian modules)
  1. (algebra) A module whose every submodule is finitely generated; or equivalently, a module whose submodules satisfy an ascending chain condition (i.e., any ascending chain of submodules levels off after a finite number of steps). Wikipedia link: Noetherian module Categories (topical): Algebra Synonyms: noetherian module Related terms: Noetherian ring

Inflected forms

Alternative forms

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.

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