##  [Non-Noetherian Module](/non-noetherian-module) 

  ##  [Non-Noetherian Module](https://algebra.quantumdictionary.io/non-noetherian-module-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A module over a ring that does not satisfy the ascending chain condition on submodules; there exists an infinite strictly increasing sequence of submodules M1 ⊂ M2 ⊂ M3 ⊂ ... that never stabilizes.