3 papers
math.AC2019
Projective dimension of Hypergraphs
Kuei-Nuan Lin, Sonja Mapes
Given a square-free monomial ideal , satisfying certain hypotheses, in a polynomial ring over a field , we compute the projective dimension of . Specifically,…
math.AC2018
Lattices and Hypergraphs associated to square-free monomial ideals
Kuei-Nuan Lin, Sonja Mapes
Given a square-free monomial ideal in a polynomial ring over a field , one can associate it with its LCM-lattice and its hypergraph. In this short note, we esta…
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…