A parallel Buchberger algorithm for multigraded ideals

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 separat

A parallel Buchberger algorithm for multigraded ideals

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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