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Original Articles

On the existence of covers by injective modules relative to a torsion theory

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Pages 1737-1748 | Received 01 Sep 1995, Published online: 27 Jun 2007

References

  • Enochs , E. 1981 . Injective and flat covers, envelopes and resolvents . Israel J . Math. , 39 : 189 – 209 .
  • Fuchs , L. 1977 . Cotorsion modules over noetherian rings . Houston J. Math. , 3 ( 1 ) : 33 – 46 .
  • Golan , J. S. 1986 . Torsion theories. Pitman Monographs aud Surveys in Pure and Applied Mathematics , Vol. 29 , Longman Scientific and Technical .
  • Golan , J. and Teply , M. 1973 . Finiteness conditions on filters of left ideals . J. Pure Appl. Algebra , 3 ( 1 ) : 251 – 260 .
  • García Rozas , J. R. and Torrecillas , B. 1994 . Relative injective covers . Comm. Algebra , 22 ( 8 ) : 2925 – 2940 .
  • Stenström , B. 1975 . “ Rings of quotients ” . Berlin : Springer .
  • Tachikawa , H. and Ohtake , K. 1979 . Colocalization and Localization in Abelian Categories . J. Algebra , 56 : 1 – 23 .
  • Teply , M. L. 1970 . Homological dimension and splitting torsion theories . Pacific J. Math. , 34 : 193 – 205 .
  • Torrecillas , B. 1984 . T-torsion-free T-injective covers . Comm. Algebra , 12 ( 21 ) : 2707 – 2726 .

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