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Original Articles

Indecomposable decompositions of pure-injective modules

Pages 3709-3725 | Received 01 May 1997, Published online: 23 Dec 2010

References

  • Anderson , F.W. and Fuller , K.R. 1974 . “ Rings and Categories of Modules ” . In GTM , Vol. 13 , New York : Springer-Verlag . Heidelberg, Berlin
  • Dung , N.V. 1997 . Modules with indecomposable decompositions that comple-ment maximal direct summands . J. Algebra , 197 : 449 – 467 .
  • Dung , N.V. , Huynh , D.V. , Smith , P.F. and Wisbauer , R. 1994 . “ Extending Mod-ules ” . In Pitman Research Notes in Mathematics Series , Vol. 313 , Harlow : Longman .
  • Fuller , K.R. 1976 . On rings whose left modules are direct sums of finitely gen-erated modules . Proc. Amer. Math. Soc , 54 : 39 – 44 .
  • García , J.L. and Dung , N.V. 1994 . Some decomposition properties of injective and pure-injective modules . Osaka J. Math , 31 : 95 – 108 .
  • Góez Pardo , J.L. and Guil Asensio , P.A. 1996 . Endomorphism rings of com-pletely pure-injective modules . Proc. Amer. Math. Soc , 124 : 2301 – 2309 .
  • Gómez Pardo , J.L. and Guil Asensio , P.A. 1997 . Indecomposable decomposi-tions of finitely presented pure-injective modules . J. Algebra , 192 : 200 – 208 .
  • Gómez Pardo J.L. Guil Asensio P.A. On the Goldie dimension of injective modules Proc. Edinburgh Math. Soc to appear
  • Gruson , L. and Jensen , C.U. 1981 . “ Dimensions cohomologiques relieés auxfonc-teurs lim (i) ” . In Lecture Notes in Math , Vol. 867 , 95 – 108 . Berlin : Springer-Verlag .
  • Jensen , C.U. and Lenzing , H. 1989 . Model Theoretic Algebra , New York : Gordon and Breach .
  • Mohamed , S.H. and Müller , B.J. 1990 . “ Continuous and Discrete Modules ” . In London Math. Soc , Vol. 147 , Cambridge : Cambridge University Press . Lecture Note Series
  • Osofsky , B.L. 1968 . Noninjective cyclic modules . Proc. Amer. Math. Soc , 19 : 1383 – 1384 .
  • Prest , M. 1988 . “ Model Theory and Modules ” . In London Math. Soc , Vol. 130 , Cambridge : Cambridge University Press . Lecture Note Series
  • Warfield , R.B. Jr . 1969 . Purity and algebraic compactness for modules . Pacific J. Math , 28 : 699 – 719 .
  • Wisbauer , R. 1991 . Foundations of Module and Ring Theory , Reading : Gordon and Breach .
  • Zummermann-Huisgen , B. 1979 . Rings whose right modules are direct sums of indecomposable modules . Proc. Amer. Math. Soc , 77 : 191 – 197 .
  • Zummermann-Huisgen , B. and Zimmermann , W. 1978 . Algebraically compact rings and modules . Math. Z , 161 : 81 – 93 .
  • Zummermann-Huisgen , B. and Zimmermann , W. 1984 . Classes of modules with the exchange property . J. Algebra , 88 : 416 – 434 .
  • Zimmermann , W. 1977 . Rein injektive direkte summen von Moduln . Comm. Algebra , 5 : 1083 – 1117 .

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