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GeezerVison is showing mathworld.wolfram.com — Module Kernel -- from Wolfram MathWorld

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Module Kernel


The module 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 Homomorphism

This entry contributed by Margherita Barile

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Cite this as:

Weisstein, Eric W., with contributions by Margherita Barile. "Module Kernel." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ModuleKernel.html

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