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Original Articles

WHEN ARE PURE-INJECTIVE ENVELOPES OF FLAT MODULES FLAT?

Pages 3077-3085 | Received 01 Jan 2001, Published online: 01 Sep 2006

REFERENCES

  • Bican , L. , El Bashir , R. and Enochs , E. 2001 . All Modules have Flat Covers . Bull. London Math. Soc. , 33 : 385 – 390 .
  • Eklof , P. and Trlifaj , J. 2001 . How to Make Ext Vanish . Bull. London Math. Soc. , 33 : 41 – 51 .
  • Enochs , E. 1981 . Injective and Flat Covers, Envelopes and Resolvents . Israel J. Math. , 39 : 189 – 209 .
  • Enochs , E. 1984 . Flat Covers of Flat Cotorsion Modules . Proc. A.M.S. , 92 ( 2 ) : 179 – 84 .
  • Enochs , E. 1988 . Remarks on Commutative Noetherian Rings whose Flat Modules have Flat Injective Envelopes . Portugaliae Mathematica , 45 ( 2 ) : 151 – 56 .
  • Jensen , Ch.U. 1972 . Les Foncteurs Dérivés de limet leurs Applications en Théorie des Modules Vol. 254 , LNM, SV
  • Prest , M. 1988 . Model Theory and Modules London Math. Soc. Lecture Note Series Vol. 130 , Cambridge Univ. Press .
  • Prest , M. , Rothmaler , Ph. and Ziegler , M. 1995 . Absolutely Pure and Flat Modules and “Indiscrete” Rings . J. Algebra , 174 : 349 – 72 .
  • Rothmaler , Ph. 1983 . Some Model Theory of Modules. II On Stability and Categoricity of Flat Modules . J. Symbolic Logic , 48 ( 4 ) : 970 – 985 .
  • Sabbagh , G. 1970 . Aspects Logiques de la Pureté dans les Modules . CR , 271 : 909 – 12 .
  • Sabbagh , G. and Eklof , P. 1971 . Definability Problems for Modules and Rings . J. Symbolic Logic , 36 : 623 – 49 .
  • Xu , J. 1996 . Flat Covers of Modules Lecture Notes in Math. Vol. 1634 , Springer-Verlag .
  • Zimmermann , W. 1977 . Rein injektive direkte Summen von Moduln . Comm. Algebra , 5 ( 10 ) : 1083 – 1117 .
  • Zimmermann-Huisgen , W. and Zimmermann , B. 1978 . Algebraically Compact Rings and Modules . Math. Zeitschrift , 161 ( 1 ) : 81 – 93 .
  • 1Note the related result contained in [5].
  • *For an independent treatment see Auslander M.; Smalo, S. O. Preprojective Modules over Artin Algebras, J. Algebra 1980, 66, 61–122.

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