Last Updated
：2025/12/05
Noetherian module
（ plural ）
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(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).
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Noetherian module
When working with a Noetherian module, you can be confident that every ascending chain of submodules stabilizes.
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When working with a Noetherian module, you can be confident that every ascending chain of submodules stabilizes.
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