Proper Submodule
A submodule that is not the entire module.
See also
Irreducible Module, SubmoduleThis entry contributed by Margherita Barile
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Barile, Margherita. "Proper Submodule." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ProperSubmodule.html