Somayeh Moradi

activity

20232025

most citedNormal Rees algebras arising from vertex decomposable simplicial complexes

1 citations · 2 across the 4 of their papers we have counts for

collaborators

8 papers

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…