Abstract
Let R be a ring. We prove that every right CF ring is right artinian under the left perfect or strongly right C2 condition. We also show that a right noetherian, left P-injective, left CS-ring is QF.
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Acknowledgments
The authors are supported by the National Natural Science Foundation of China (No. 10171011), the Natural Science Foundation of Jiangsu Province in China. (No. BK 2001001) and the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, P.R.C. The authors also thank the referee for helpful comments.
Notes
#Communicated by J. L. Gómez Pardo.