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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)

Abstract

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.

Keywords

Exact Sequence Representation Type Projective Module Artinian Ring Artin Algebra 
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

© Springer-Verlag 1980

Authors and Affiliations

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

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