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Artículo
Minimal resolutions of lattice ideals and integer linear programming
(European Mathematical Society, 2003)
A combinatorial description of the minimal free resolution of a lattice ideal allows us to the connection of Integer Linear Programming and Algebra. The non null reduced homology spaces of some simplicial complexes are ...
Artículo
Combinatorics of syzygies for semigroup algebras
(Universitat de Barcelona, 1998)
We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions. The ...