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Large Submodule


A submodule L of a module M such that for any other nonzero submodule K of M, the intersection L intersection K is not the zero module. L is also called an essential submodule of M, whereas M is called an essential extension of L.


See also

Small Submodule, Submodule

This entry contributed by Margherita Barile

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Cite this as:

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

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