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Original Articles

Butler Modules Over Prüfer Domains

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Pages 858-868 | Received 29 Aug 2006, Published online: 18 Jun 2008

REFERENCES

  • Butler , M. C. R. ( 1965 ). A class of torsion-free abelian groups of finite rank . Proc. London Math. Soc. 15 : 680 – 698 .
  • Butler , M. C. R. ( 1968 ). Torsion-free modules and diagrams of vector spaces . Proc. London Math. Soc. 18 : 635 – 652 .
  • Franzen , B. ( 1983 ). Exterior powers and torsion-free modules over almost maximal valuation domains . Abelian Group Theory. Lecture Notes in Math. 1006 . Springer , pp. 599 – 606 .
  • Fuchs , L. , Salce , L. ( 1985 ). Modules Over Valuation Domains . Lecture Notes in Pure and Appl. Math. 97 . New York : Marcel Dekker .
  • Fuchs , L. , Salce , L. ( 2001 ). Modules Over Non-Noetherian Domains . Mathematical Surveys and Monographs 84 . Providence , RI : Amer. Math. Soc.
  • Goeters , H. P. ( 1998 ). Butler modules over 1-dimensional noetherian domains . Abelian Groups and Modules (Dublin 1998). Trends Math. Basel : Birkhäuser , pp. 149 – 165 .
  • Goeters , H. P. ( 2005 ). When Butler's theorem for groups holds for modules . Comm. Algebra 33 : 2827 – 2831 .
  • Matlis , E. ( 1972 ). Torsion Free Modules . Chicago : University of Chicago Press .
  • Olberding , B. ( 1999 ). Prüfer domains and pure submodules of direct sums of ideals . Mathematika 46 : 425 – 432 .
  • Olberding , B. ( 2000 ). Modules of injective dimension one over Prüfer domains . J. Pure and Appl. Algebra 153 : 263 – 287 .
  • Communicated by A. Facchini.

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