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Commutative endomorphism rings

Commutative endomorphism rings

Two problems of W. V. Vasconcelos are partially solved: (1) The total quotient ring of a commutative noetherian ring R is quasi-frobenius if and only if Ends (A) is commutative for each ideal A of R. (2) Let R be a commutative quasiregular ring and E a finitely presented ϋ?-module.If …