In this paper we continue the work done in [GMRT]. Namely we describe an algorithm which allows to drive the classical Buchberger Algorithm by means of multigraded Hilbert-Poincare series. The result is that in the multigraded case one can kill many more useless critical pairs. Besides, the new algorithm, calLed MGHDriven, is intrinsically parallelizable and it is now implemented in CoCoA (see [CNR]).
Multigraded Hilbert Functions and Buchberger Algorithm
CABOARA, MASSIMO;
1996-01-01
Abstract
In this paper we continue the work done in [GMRT]. Namely we describe an algorithm which allows to drive the classical Buchberger Algorithm by means of multigraded Hilbert-Poincare series. The result is that in the multigraded case one can kill many more useless critical pairs. Besides, the new algorithm, calLed MGHDriven, is intrinsically parallelizable and it is now implemented in CoCoA (see [CNR]).File in questo prodotto:
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