##  [Non-Artinian Module](/non-artinian-module) 

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

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A module that does not satisfy the descending chain condition on submodules; there exists an infinite strictly decreasing chain of submodules N1 ⊃ N2 ⊃ N3 ⊃ ... that never stabilizes.