manuscripta mathematica

, Volume 2, Issue 3, pp 203–239 | Cite as

Satelliten; Singuläre Erweiterungen und Derivationen

  • Horst Brinkmann


This paper is divided in two parts. In chapter one we generalize the concept of satellite for abelian categories, substituting Ext by an arbitrary functor E:Aop×BEns. A very close relation to Kan functor extensions turns out. In chapter two we give a comprehensive formulation of the wellknown cohomology theories for groups and algebras-with the recently used modification in taking the group of derivations as the lowest cohomology group- starting with a categorical definition of the concept of singular extension. There is a zeroth chapter with a construction on functors, needed in both parts, and a third with examples.


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Copyright information

© Springer-Verlag 1970

Authors and Affiliations

  • Horst Brinkmann
    • 1
  1. 1.Wolfartsweier

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