noetherian module

noun

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).

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Meanings

noetherian module1

nounnoetherian module (plural noetherian modules)

plural noetherian modules

  1. Alternative letter-case form of Noetherian module.

Noetherian module2

nounNoetherian module (plural Noetherian modules)

plural Noetherian modules · alternative noetherian module

  1. algebraA 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).
Cite this entry
APA

noetherian module. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/noetherian%20module

MLA

“noetherian module.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/noetherian%20module. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “noetherian module,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/noetherian%20module.

Source: noetherian module on Wiktionary, CC BY-SA 4.0.