2021/12/08 by Herzog, Jürgen, Rahimbeigi, Masoomeh, Römer, Tim · 1 citation
#05E40 #13C99 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2112.04239
We study monomial cut ideals associated to a graph G, which are a monomial analogue of toric cut ideals as introduced by Sturmfels and Sullivant. Primary decompositions, projective dimensions, and Castelnuovo-Mumford regularities are investigated if the graph can be decomposed as 0-clique sums and disjoint union of subgraphs. The total Betti numbers of a cycle are computed. Moreover, we classify all Freiman ideals among monomial cut ideals.