Commutative perfect $\textrm {QF}-1$ rings
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- by Hiroyuki Tachikawa PDF
- Proc. Amer. Math. Soc. 68 (1978), 261-264 Request permission
Abstract:
If R is a commutative artinian ring, then it is known that every finitely generated faithful R-module is balanced (i.e. has the double centralizer property) if and only if R is a quasi-Frobenius ring. In this note, constructing new nonbalanced modules we prove that the assumption on R to be artinian can be replaced by the weaker condition that R is perfect.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 68 (1978), 261-264
- MSC: Primary 16A36
- DOI: https://doi.org/10.1090/S0002-9939-1978-0472903-1
- MathSciNet review: 0472903