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