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Questions about rings satisfying the descending chain condition on ideals.
4
votes
Accepted
injective hull and projective cover of simple modules are indecomposable
One definition of "projective cover" of $S$ is that it is a projective module $P$, together with an epimorphism $\phi\colon P\to S$ such that the kernel $K$ is a superfluous submodule of $P$, meaning …