The method of Gröbner bases

  • Franz Winkler
Part of the Texts and Monographs in Symbolic Computation book series (TEXTSMONOGR)


Many of the properties that are important for Gröbner bases can be developed in the frame of binary relations on arbitrary sets, so-called reduction relations (Huet 1980). The theory of reduction relations forms a common basis for the theory of Gröbner bases, word problems in finitely presented groups, term rewriting systems, and lambda calculus.


Normal Form Word Problem Power Product Reduction Relation Noetherian Ring 
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Copyright information

© Springer-Verlag Wien 1996

Authors and Affiliations

  • Franz Winkler
    • 1
  1. 1.Research Institute for Symbolic ComputationJohannes-Kepler-University LinzLinzAustria

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