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Original Articles

When is Every Module with Essential Socle a Direct Sums of Quasi-Injectives?

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Pages 4251-4258 | Received 17 Sep 2003, Accepted 03 Apr 2004, Published online: 01 Feb 2007

REFERENCES

  • Beidar , K. I. , Ke , W.-F. ( 2002 ). On essential extensions of direct sums of injective modules . Archiv Math. 78 : 120 – 123 . [CSA]
  • Bourbaki , N. ( 1972 ). Commutative Algebra . New York : Addison-Wesley .
  • Cohen , I. S. , Kaplansky , I. ( 1951 ). Rings for which every module is a direct sum of cyclic modules . Math. Z. 54 : 97 – 101 . [CSA] [CROSSREF]
  • Engelking , R. ( 1977 ). General Topology . Warzawa : PWN-Polish Scientific Publisher .
  • Faith , C. ( 1976 ). Algebra II. Ring Theory . New York : Springer-Verlag .
  • Köthe , G. ( 1935 ). Verallgemeinerte Abelsche Gruppen mit Hyperkomplexen Operatorenring . Math. Z. 39 : 31 – 44 . [CSA] [CROSSREF]
  • Lam , T. Y. ( 1999 ). Lectures on Modules and Rings . New York : Springer .
  • Lam , T. Y. ( 2001 ). A First Course in Noncommutative Rings. , 2nd ed. New York : Springer .
  • †Kostia Beidar passed away on March 8, 2004.
  • Communicated by A. Facchini.

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