A Module-Theoretical Approach to Vector Space Categories

  • Daniel Simson
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 287)


The concepfe of a vector space category over an algebraically closed field and a subspace category were introduced by Nazarova and Rojter [9] in a connection with the second Brauer-Thrall conjecture. In [11, 12] Ringel presents a nice categorical explanation of these concepts and of their use. In the present note we want to give a brief introduction to the socle projective modules technique in the study of vector space categories and indecomposable modules over artinian rings. This approach was introduced in [15, 18] as a generalization of the Gabriel’s I-spaces technique [5] and of the Coxeter type arguments by Drozd [4]applied to matrix representations of posets introduced by Nazarova and Rojter in [8].


Peak Ring Finite Type Division Ring Projective Cover Indecomposable Module 
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Copyright information

© Springer-Verlag Wien 1984

Authors and Affiliations

  • Daniel Simson
    • 1
  1. 1.Nicholas Copernicus UniversityToruńPoland

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