A submodule 
of a module 
such that for any other nonzero submodule 
of 
, the intersection 
is not the zero
module. 
is also called an essential submodule of 
, whereas 
is called an essential extension of 
.
Large Submodule
See also
Small Submodule, SubmoduleThis entry contributed by Margherita Barile
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Cite this as:
Weisstein, Eric W., with contributions by Margherita Barile. "Large Submodule." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LargeSubmodule.html