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math.AC2009
Computing Inhomogeneous Groebner Bases
A. M. Bigatti, M. Caboara, L. Robbiano
In this paper we describe how an idea centered on the concept of self-saturation allows several improvements in the computation of Groebner bases via Buchberger's Algorithm.
math.AC2008
(n-1)-st Koszul homology and the structure of monomial ideals
Anna M. Bigatti, E. Saenz-de-Cabezon
Koszul homology of monomial ideals provides a description of the structure of such ideals, not only from a homological point of view (free resolutions, Betti numbers, Hilbert serie…