Math 2.0

Associative rings and algebras Local rings and generalizations Concept

Uniserial module

Summary

A uniserial module is a module whose submodules form a chain: of any two submodules, one contains the other. Uniserial modules are the building blocks of serial modules and serial rings. Over a discrete valuation ring and over many finite-dimensional algebras, the indecomposable modules of finite length are uniserial, which makes these modules easy to classify.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Serial_module
About this page
TagZ1045A0V29
URIm2://Z1045A0V29
Kindconcept
WritingW0 stub
MSC16D70, 16P70
SpecializesModule over a ring
Changed2 November 2026

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