Commutative QF-1 Rings

Claus Michael Ringel
1974 Proceedings of the American Mathematical Society  
If R is a commutative artinian ring, then it is known that every faithful /J-module is balanced (i.e. has the double centralizer property) if and only if R is a quasi-Frobenius ring. In this note it is shown that the assumption on R to be artinian can be replaced by the weaker condition that R is noetherian.
doi:10.2307/2039507 fatcat:4nrxgzjj4zgcvnlazxk7nt7l6u