Somayeh Moradi

activity

20172026

most citedIdeals with componentwise linear powers

1 citations · 5 across the 14 of their papers we have counts for

collaborators

16 papers

math.AC2026

Symbolic Rees algebras of complementary edge ideals

Antonino Ficarra, Somayeh Moradi, Yuji Muta

Let $G$ be a finite simple graph on $[n]$ and let $I_{c} (G)$ denote its complementary edge ideal in the polynomial ring $S = K [x_{1}, \dots, x_{n}]$ . We give a combinatorial description, i…

math.AC2026

$k$ -neighborhood ideals of graphs

Somayeh Moradi, Leila Sharifan

In this paper, we introduce and investigate the $k$ -neighborhood ideal of a graph, a natural generalization of the closed neighborhood ideal. Let $G$ be a simple graph on…

math.AC2026

On homological invariants and Cohen-Macaulayness of closed neighborhood ideals

Somayeh Moradi, Leila Sharifan

Let $G$ be a finite simple graph and $N I (G)$ be the closed neighborhood ideal of $G$ in the polynomial ring $S = K [V (G)]$ . In this paper, we study the Castelnuovo-Mumford regularity,…

math.AC2025

Rees algebras of complementary edge ideals

Antonino Ficarra, Somayeh Moradi

In this paper we investigate the Rees algebras of squarefree monomial ideals $I \subset S = K [x_{1}, \dots, x_{n}]$ generated in degree $n - 2$ , where $K$ is a field. Every such ideal arises…

math.AC2025

Complementary edge ideals

Antonino Ficarra, Somayeh Moradi

Let $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring over a field $K$ and $I \subset S$ be a squarefree monomial ideal generated in degree $n - 2$ . Motivated by the remarkable behavior of…

math.AC2025

Stanley-Reisner ideals with linear powers

Antonino Ficarra, Somayeh Moradi

Let $S = K [x_{1}, \dots, x_{n}]$ be the standard graded polynomial ring over a field $K$ . In this paper, we address and completely solve two fundamental open questions in Commutative A…

math.AC2025

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 $I$ , we conje…

math.AC2025

Algebraic study on permutation graphs

Antonino Ficarra, Somayeh Moradi

Let $G$ be a permutation graph. We show that $G$ is Cohen-Macaulay if and only if $G$ is unmixed and vertex decomposable. When this is the case, we obtain a combinatorial descripti…

math.AC2024

Sortable simplicial complexes and their associated toric rings

Antonino Ficarra, Somayeh Moradi

Let $Γ$ be a $d$ -flag sortable simplicial complex. We consider the toric ring $R_{Γ} = K [x_{F} t : F \in Γ]$ and the Rees algebra of the facet ideals $I (Γ^{[i]})$ of pure skeletons of…

math.AC2024★ 1 cited

Componentwise linear symbolic powers of edge ideals and Minh's conjecture

Antonino Ficarra, Somayeh Moradi, Tim Römer

In this paper, we study the componentwise linearity of symbolic powers of edge ideals. We propose the conjecture that all symbolic powers of the edge ideal of a cochordal graph are…

math.AC2024★ 1 cited

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…

math.AC2024

On the Rees algebra and the conductor of an ideal

Oleksandra Gasanova, Jürgen Herzog, Filip Jonsson Kling +1

For an ideal $I$ in a Noetherian ring $R$ , we introduce and study its conductor as a tool to explore the Rees algebra of $I$ . The conductor of $I$ is an ideal $C (I) \subset R$ obtai…

math.AC2023★ 1 cited

Ideals and their Fitting ideals

David Eisenbud, Antonino Ficarra, Jürgen Herzog +1

For an ideal $I$ in a Noetherian ring $R$ , the Fitting ideals $Fitt_{j} (I)$ are studied. We discuss the question of when $Fitt_{j} (I) = I$ or $\sqrt{\textrm{Fitt}_j(I)}…

math.AC2023★ 1 cited

Normal Rees algebras arising from vertex decomposable simplicial complexes

Somayeh Moradi

We show that for a vertex decomposable simplicial complex $Δ$ , the Rees algebra of $I_{Δ^{\lor}}$ is a normal Cohen-Macaulay domain. As consequences, we show that any squarefree we…

math.AC2023★ 1 cited

Ideals with componentwise linear powers

Takayuki Hibi, Somayeh Moradi

Let $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring over a field $K$ , and let $A$ be a finitely generated standard graded $S$ -algebra. We show that if the defining ideal of $A$ has a…

math.AC2017

On the facet ideal of an expanded simplicial complex

Somayeh Moradi, Rahim Rahmati-Asghar

For a simplicial complex $Δ$ , the affect of the expansion functor on combinatorial properties of $Δ$ and algebraic properties of its Stanley-Reisner ring has been studied in some p…

Symbolic Rees algebras of complementary edge ideals

k-neighborhood ideals of graphs

On homological invariants and Cohen-Macaulayness of closed neighborhood ideals

Rees algebras of complementary edge ideals

Complementary edge ideals

Stanley-Reisner ideals with linear powers

Symbolic powers of polymatroidal ideals

Algebraic study on permutation graphs

Sortable simplicial complexes and their associated toric rings

Componentwise linear symbolic powers of edge ideals and Minh's conjecture

Monomial ideals whose all matching powers are Cohen-Macaulay

On the Rees algebra and the conductor of an ideal

Ideals and their Fitting ideals

Normal Rees algebras arising from vertex decomposable simplicial complexes

Ideals with componentwise linear powers

On the facet ideal of an expanded simplicial complex

$k$ -neighborhood ideals of graphs