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Artinian Module


A module that fulfils the descending chain condition with respect to inclusion, i.e., if every decreasing sequence of submodules eventually become constant.


See also

Artinian Ring, Descending Chain Condition, Module Length, Noetherian Module

This entry contributed by Margherita Barile

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References

Atiyah, M. F. and Macdonald, I. G. Introduction to Commutative Algebra. Menlo Park, CA: Addison-Wesley, 1969.

Referenced on Wolfram|Alpha

Artinian Module

Cite this as:

Barile, Margherita. "Artinian Module." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ArtinianModule.html

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