9 papers
-neighborhood ideals of graphs
Somayeh Moradi, Leila Sharifan
In this paper, we introduce and investigate the -neighborhood ideal of a graph, a natural generalization of the closed neighborhood ideal. Let be a simple graph on…
On homological invariants and Cohen-Macaulayness of closed neighborhood ideals
Somayeh Moradi, Leila Sharifan
Let be a finite simple graph and be the closed neighborhood ideal of in the polynomial ring . In this paper, we study the Castelnuovo-Mumford regularity,…
Rees algebras of complementary edge ideals
Antonino Ficarra, Somayeh Moradi
In this paper we investigate the Rees algebras of squarefree monomial ideals generated in degree , where is a field. Every such ideal arises…
Stanley-Reisner ideals with linear powers
Antonino Ficarra, Somayeh Moradi
Let be the standard graded polynomial ring over a field . In this paper, we address and completely solve two fundamental open questions in Commutative A…
Monomial ideals whose all matching powers are Cohen-Macaulay
Antonino Ficarra, Somayeh Moradi
In the present paper, we aim to classify monomial ideals whose all matching powers are Cohen-Macaulay. We especially focus our attention on edge ideals. The Cohen-Macaulayness of t…
Symbolic powers of polymatroidal ideals
Antonino Ficarra, Somayeh Moradi
In this paper, we investigate the componentwise linearity and the Castelnuovo-Mumford regularity of symbolic powers of polymatroidal ideals. For a polymatroidal ideal , we conje…