A Note on the Faith–Menal Conjecture

REFERENCES

• Anderson , F. W. , Fuller , K. R. ( 1992 ). Rings and Categories of Modules. GTM 13, , 2nd ed. New York : Springer-Verlag .
   Google Scholar
• Faith , C. , Menal , P. ( 1992 ). A counter example to a conjecture of Johns . Proc. Amer. Math. Soc. 116 : 21 – 26 .
   Web of Science ®Google Scholar
• Faith , C. , Menal , P. ( 1994 ). The structure of Johns rings . Proc. Amer. Math. Soc. 120 : 1071 – 1081 .
   Web of Science ®Google Scholar
• Johns , B. ( 1977 ). Annihilator conditions in noetherian rings . J. Algebra 49 : 222 – 224 .
   Web of Science ®Google Scholar
• Kasch , F. ( 1982 ). Modules and Rings . London : Academic Press .
   Google Scholar
• Kurshan , R. ( 1970 ). Rings whose cyclic modules have finitely generated socle . J. Algebra 15 : 376 – 386 .
   Web of Science ®Google Scholar
• Mohamed , S. H. , Müller , B. J. ( 1990 ). Continuous and Discrete Modules . London Mathematical Society Lecture Note Series , Vol. 147 . New York : Cambridge University Press .
   Google Scholar
• Nicholson , W. K. , Yousif , M. F. ( 1995 ). Principally injective rings . J. Algebra 174 : 77 – 93 .
   Web of Science ®Google Scholar
• Nicholson , W. K. , Yousif , M. F. ( 1998 ). Annihilators and the CS-condition . Glasgow Math. J. 40 : 213 – 222 .
   Web of Science ®Google Scholar
• Nicholson , W. K. , Yousif , M. F. ( 2003 ). Quasi-Frobenius Rings . Cambridge Tracts in Mathematics , Vol. 158 . New York : Cambridge University Press .
   Google Scholar
• Communicated by T. Albu.
   Google Scholar