Hereditary algebras that are not pure-hereditary

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


Let R be a hereditary finite-dimensional algebra of tame type. In this note it is shown that any pure-injective R-module contains an indecomposable direct summand. This result is used to prove that if R is not countable and the category of R-modules contains a full sub-category equivalent to the category of representations of Ã1 then R is not pure-hereditary.


Exact Sequence Direct Summand Hereditary Algebra Indecomposable Direct Summand Pure Submodule 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Frank Okoh
    • 1
  1. 1.Department of MathematicsYork UniversityDownsviewCanada

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