Commutativity of endomorphism rings of ideals. II
Abstract: Let be a commutative ring. In (1), it was proved that a ring with noetherian total quotient ring is self-injective if and only if the endomorphism ring of every ideal is commutative. We prove here that if the ring is coherent and is its own total quotient ring, then is self-injective if and only if for every ideal of .
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Keywords: Total quotient ring, coherent ring, self-injective ring, irreducible ideal
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