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