Let f: (Z,+)->(Z6,+) defined by f(k)={set of k} Find ker f?
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Originally Posted by mathemanyak f(k)={set of k} You mean $\displaystyle f(k)=\left\{n\in\mathbb{Z}:n\equiv k\!\!\!\pmod{6}\right\}=[k]_6$. The answer is $\displaystyle \{6m:m\in\mathbb{Z}\}$. I leave the proof to you.
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