5 papers
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…