A Logical Approach to Abstract Algebra

  • Thierry Coquand
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3526)


Recent work in constructive mathematics show that Hilbert’s program works for a large part of abstract algebra. Furthermore the arguments we get are not only elementary but also mathematically simpler. We present an example where the simplification was significant enough to suggest an improved version of a classical theorem. For this we use a general method to transform some logically complex first-order formulae in a geometrical form which may be interesting in itself.


Prime Ideal Local Ring Maximal Ideal Jacobson Radical Constructive Proof 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Thierry Coquand
    • 1
  1. 1.Institutionen för DatavetenskapChalmers Tekniska HögskolaGöteborgSweden

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