The kernel of a module homomorphism 
is the set of all elements of 
which are mapped to zero. It is the kernel of 
as a homomorphism of additive groups, and is a submodule
of 
.
Module Kernel
See also
Cokernel, Group Kernel, Module HomomorphismThis entry contributed by Margherita Barile
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Cite this as:
Barile, Margherita. "Module Kernel." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ModuleKernel.html