4 citations · 17 across the 50 of their papers we have counts for
12 papers · 2 filters
Sortable simplicial complexes and their associated toric rings
Antonino Ficarra, Somayeh Moradi
Let be a -flag sortable simplicial complex. We consider the toric ring and the Rees algebra of the facet ideals of pure skeletons of…
The homological shift algebra of a monomial ideal
Antonino Ficarra, Ayesha Asloob Qureshi
Let be the polynomial ring over a field , and let be a monomial ideal. In this paper, we introduce the th \textit{homological shift algebras…
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…
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…
A new proof of the Herzog-Hibi-Zheng theorem
Antonino Ficarra
We give a new, elementary proof of the celebrated Herzog-Hibi-Zheng theorem on powers of quadratic monomial ideals.
The canonical trace of Cohen-Macaulay algebras of codimension 2
Antonino Ficarra
In the present paper, we investigate a conjecture of Jürgen Herzog. Let be a local regular ring with residue field or a positively graded -algebra, be a per…
The -function of powers of sums of ideals
Antonino Ficarra, Pedro Macias Marques
Let be a field, and be graded ideals. Set and let . The behaviour of the -functio…
Bounds on Dao numbers and applications to regular local rings
Antonino Ficarra, Cleto B. Miranda-Neto, Douglas S. Queiroz
The so-called Dao numbers are a sort of measure of the asymptotic behaviour of full properties of certain product ideals in a Noetherian local ring with infinite residue field…
Forests whose matching powers are linear
Nursel Erey, Antonino Ficarra
In this note, we classify all the weighted oriented forests whose edge ideals have the property that one of their matching powers has linear resolution.
Cohen-Macaulayness of vertex splittable monomial ideals
Marilena Crupi, Antonino Ficarra
In this paper, we give a new criterion for the Cohen-Macaulayness of vertex splittable ideals, a family of monomial ideals recently introduced by Moradi and Khosh-Ahang. Our result…
Asymptotic behaviour of integer programming and the -function of a graded filtration
Antonino Ficarra, Emanuele Sgroi
The -function of a graded filtration is introduced. Under the assumption that is Noetherian, we prove that the -…
Dao numbers and the asymptotic behaviour of fullness
Antonino Ficarra
In the present paper, we study the Dao numbers and of an ideal of a Noetherian local ring or a st…