A module that fulfils the descending chain condition with respect to inclusion, i.e., if every decreasing sequence of submodules eventually become constant.
Artinian Module
See also
Artinian Ring, Descending Chain Condition, Module Length, Noetherian ModuleThis entry contributed by Margherita Barile
Explore with Wolfram|Alpha
References
Atiyah, M. F. and Macdonald, I. G. Introduction to Commutative Algebra. Menlo Park, CA: Addison-Wesley, 1969.Referenced on Wolfram|Alpha
Artinian ModuleCite this as:
Weisstein, Eric W., with contributions by Margherita Barile. "Artinian Module." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ArtinianModule.html