Rendiconti del Circolo Matematico di Palermo

, Volume 37, Issue 1, pp 100–108 | Cite as

A note on indecomposable modules

  • S. Jondrup
  • J. Krempa
  • D. Niewieczerzal


In this note we study rings having only a finite number of non isomorphic uniform modules with non zero socle. It is proved that a commutative ring with this property is a direct sum of a finite ring and a ring of finite representation type. In the non commutative case we show that most P.I. rings having only a finite number of non isomorphic modules with non zero socle are in fact artinian.


Finite Number Commutative Ring Left Ideal Prime Ring Indecomposable Module 
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Copyright information

© Springer 1988

Authors and Affiliations

  • S. Jondrup
    • 1
  • J. Krempa
    • 1
  • D. Niewieczerzal
    • 1
  1. 1.Københauns Univ. Mat. InstitutKøbenhaun øDanmark

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