A parallel Buchberger algorithm for multigraded ideals

Details A parallel Buchberger algorithm for multigraded ideals A parallel Buchberger algorithm for multigraded ideals

2011-05-27

arxiv.org/abs/1105.5509v1

Mathematics

Commutative Algebra

8 pages, 6 figures

Scientific paper

We demonstrate a method to parallelize the computation of a Gr\"obner basis
for a homogenous ideal in a multigraded polynomial ring. Our method uses
anti-chains in the lattice $\mathbb N^k$ to separate mutually independent
S-polynomials for reduction.

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