7 citations · 18 across the 21 of their papers we have counts for
5 papers · 1 filter
Componentwise linear powers and the -condition
Jürgen Herzog, Takayuki Hibi, Somayeh Moradi
Let be the polynomial ring over a field and a standard graded -algebra. In terms of the Gröbner basis of the defining ideal of we give a condit…
Systems of parameters and the Cohen--Macaulay property
Jürgen Herzog, Somayeh Moradi
We recall a numerical criteria for Cohen--Macaulayness related to system of parameters, and introduce monomial ideals of König type which include the edge ideals of König graphs. W…
Closed neighborhood ideal of a graph
Leila Sharifan, Somayeh Moradi
We introduce a family of squarefree monomial ideals associated to finite simple graphs, whose monomial generators correspond to closed neighborhood of vertices of the underlying gr…
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…
Some interpretations for algebraic invariants of edge ideals of hypergraphs via combinatorial invariants
Somayeh Moradi, Fahimeh Khosh-Ahang Ghasr
The present work is concerned with characterizing some algebraic invariants of edge ideals of hypergraphs. To this aim, firstly, we introduce some kinds of combinatorial invariants…