2 papers
math.AC2011
Rigid monomial ideals
Timothy B. P. Clark, Sonja Mapes
In this paper we investigate the class of rigid monomial ideals. We give a characterization of the minimal free resolutions of certain classes of these ideals. Specifically, we sho…
math.AC2008
Poset Resolutions of Monomial Ideals
Timothy B. P. Clark
We introduce the class of lattice-linear monomial ideals and use the LCM-lattice to give an explicit construction for their minimal free resolution. The class of lattice-linear ide…