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A ring is called right P-coherent if every principal right ideal is finitely presented. Let MR be a right R-module. We study the P-coherence of the endomorphism ring S of MR. It is shown that S is a right P-coherent ring if and only if every endomorphism of MR has a pseudokernel in add MR; S is a left P-coherent ring if and only if every endomorphism of MR has a pseudocokernel in add...
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