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Involutive Algorithms for Computing Groebner Bases

  title={Involutive Algorithms for Computing Groebner Bases},
  author={Vladimir P.Gerdt},
. In this paper we describe an efficient involutive algorithm for construct- ing Gröbner bases of polynomial ideals. The algorithm is based on the concept of involutive monomial division which restricts the conventional division in a certain way. In the presented algorithm a reduced Gröbner basis is the internally fixed subset of an involutive basis, and having computed the later, the former can be output without any extra computational costs. We also discuss some accounts of experimental… 

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