Israel Journal of Mathematics

, Volume 74, Issue 1, pp 91–127 | Cite as

Kaplansky test problem forR-modules

  • Saharon Shelah
Article
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Revised:

Abstract

We prove that every ringR without strong decomposition theorem has a strong non-decomposition theorem. We use diamonds (but this will be eliminated in a subsequent paper).

Keywords

Abelian Group Direct Summand Abelian Subgroup Endomorphism Ring Free Abelian Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Hebrew University 1991

Authors and Affiliations

  • Saharon Shelah
    • 1
    • 2
  1. 1.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael
  2. 2.Department of MathematicsRutgers UniversityNew BrunswickUSA

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