On finite representation type and a theorem of Kulikov

  • Hermann Brune
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 832)


For an artin algebra A we show that maximal submodules of pure-projective right A-modules (i.e. of direct sums of finitely generated A-modules) are again pure-projective if and only if A is of finite representation type. More generally we show that a right artinian ring A, such that the injective hulls of finitely generated right A-modules are finitely generated, is right pure-semisimple if and only if maximal submodules of pure-projective right A-modules are pure-projective.


Exact Sequence Representation Type Projective Module Artinian Ring Artin Algebra 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Hermann Brune
    • 1
  1. 1.Fachbereich MathematikUniversität-Gesamthochschule PaderbornPaderbornGermany

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