Let $F\in\operatorname{End}_R(M)$, where $M$ is a Noetherian $R$-module. If $\operatorname{Coker}F$ is of finite length, is Coker and Ker of all powers of $F$ of finite length? Is the condition of being noetherian necessary?
2026-03-28 08:42:02.1774687322
Coker of powers of an endomorphism
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