%0 Journal Article
%T (n-1)-st Koszul homology and the structure of monomial ideals
%A Anna M. Bigatti
%A E. Saenz-de-Cabezon
%J Mathematics
%D 2008
%I arXiv
%X 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 series) but also from an algebraic viewpoint. In this paper we show that, in particular, the homology at degree (n-1), with n the number of indeterminates of the ring, plays an important role for this algebraic description in terms of Stanley and irreducible decompositions.
%U http://arxiv.org/abs/0811.1013v1