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. 
Mikael Vejdemo-Johansson and Emil Sk\"oldberg and Jason Dusek
math.AC cs.DC cs.SC