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Communications in Algebra Volume 31, 2003 - Issue 9
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Original Articles

On Lifting Projective Modules Modulo an Essential Socle

Qin Yue College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, China; College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P. R. ChinaCorrespondence[email protected]
&
Dingfeng Ye SKLOIS Graduate School, Academy Science, Beijing, P. R. China
Pages 4245-4253 | Received 01 Apr 2001, Published online: 01 Feb 2007

References

  • Anderson , F. and Fuller , K. 1974 . Rings and Categories of Modules Berlin and New York : Springer-Verlag .
  • Baccella , G. 1980 . On C-semisimple rings: A study of the socle of a ring . Comm. Algebra , 8 ( 19 ) : 889 – 909 .
  • Baccella , G. 1995 . Semiartian V-rings and Von Neumann regular rings . J. Algebra , 173 : 587 – 612 .
  • Goodearl , K. R. 1976 . Ring Theory Nonsingular Rings and Modules New York and Basel : Marcel Dekker. Inc. .
  • Manocha , J. N. 1976 . On rings with essential socle . Comm. Algebra , 4 ( 11 ) : 1077 – 1088 .
  • Nicholson , W. K. and Watters , J. F. 1988 . Rings with projective socle . Proc. Amer. Math. Soc. , 102 : 443 – 450 .
  • Rotman , J. J. 1979 . An Introduction to Homological Algebra New York, San Francisco, , London : Academic Press .
  • Yue , Q. 1998 . Projective dimension of singular modules over nonsingular rings with essential socle . Comm. Algebra , 26 ( 4 ) : 1185 – 1195 .

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