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
Explore with Wolfram|Alpha
Cite this as:
Barile, Margherita. "Large Submodule." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/LargeSubmodule.html