Let $M$ be a module and let $e$ be an idempotent element in $End(M)$. Suppose that the image of $e$ is a maximal submodule of $M$. Is it true that the left ideal generated by $e$ is a maximal ideal of $End(M)$?
2026-04-02 00:44:56.1775090696
When the image of an idempotent endomorphism is maximal
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