1 citations · 1 across the 7 of their papers we have counts for
8 papers
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…
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…
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…
Homological shift ideals
Jürgen Herzog, Somayeh Moradi, Masoomeh Rahimbeigi +1
For a monomial ideal , we consider the th homological shift ideal of , denoted by , that is, the ideal generated by the th multigraded shifts of . So…
The edge ideal of a graph and its splitting graphs
Jürgen Herzog, Somayeh Moradi, Masoomeh Rahimbeigi
We introduce and study the concept which we call the splitting of a graph and compare algebraic properties of the edge ideals of graphs and those of their splitting graphs.
Sortable simplicial complexes and -independence ideals of proper interval graphs
Jürgen Herzog, Fahimeh Khosh-Ahang, Somayeh Moradi +1
We introduce the notion of sortability and -sortability for a simplicial complex and study the graphs for which their independence complexes are either sortable or -sortable.…
On the monomial reduction number of a monomial ideal in
Jürgen Herzog, Somayeh Moradi, Masoomeh Rahimbeigi +1
The reduction number of monomial ideals in the polynomial is studied. We focus on ideals for which is a reduction ideal. The computation of the reduction…
A family of monomial ideals with the persistence property
Somayeh Moradi, Masoomeh Rahimbeigi, Fahimeh Khosh-Ahang +1
In this paper we introduce a family of monomial ideals with the persistence property. Given positive integers and , we consider the monomial ideal generated b…