3 papers
math.AC2021
Some homological properties of Borel type ideals
Jürgen Herzog, Somayeh Moradi, Masoomeh Rahimbeigi +1
We study ideals of Borel type, including -Borel ideals and -spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity a…
math.AC2021
On the set of trace ideals of a Noetherian ring
Jürgen Herzog, Masoomeh Rahimbeigi
We consider trace ideals in Noetherian rings and focus our attention to one-dimensional analytically irreducible local rings. For such rings we classify those Gorenstein rings whic…
math.AC2021
Classes of cut ideals and their Betti numbers
Jürgen Herzog, Masoomeh Rahimbeigi, Tim Römer
We study monomial cut ideals associated to a graph , which are a monomial analogue of toric cut ideals as introduced by Sturmfels and Sullivant. Primary decompositions, projecti…