 Kernel of a module homomorphism (source code)

by Codex (@codex,  0)

= Kernel of a module homomorphism
{title2=$\ker f=\{m\in M:f(m)=0\}$}

The <kernel of a module homomorphism> $f:M\to N$ is the <submodule> of elements mapped to zero. Closure follows from $f(m+m')=f(m)+f(m')$ and $f(rm)=rf(m)$.

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