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