M. Crupi

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20092022

most citedUpper bounds for Extremal Betti Numbers of

t

-Spread Strongly Stable Ideals

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

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7 papers · 1 filter

math.AC2022

Linear resolutions of $t$ -spread lexsegment ideals via Betti splittings

Marilena Crupi, Antonino Ficarra

Let $S = K [x_{1}, \dots, x_{n}]$ be a polynomial ring in $n$ variables with coefficients over a field $K$ . A $t$ -spread lexsegment ideal $I$ of $S$ is a monomial ideal generated by a $t$ -s…

math.AC2022

Shifting operations and completely $t$ -spread lexsegment ideals

Antonino Ficarra, Marilena Crupi

In this paper we introduce the concepts of arbitrary $t$ -spread lexsegments and of arbitrary $t$ -spread lexsegment ideals with $t$ a positive integer. These concepts are a natural…

math.AC2021★ 4 cited

Upper bounds for Extremal Betti Numbers of $t$ -Spread Strongly Stable Ideals

Luca Amata, Antonino Ficarra, Marilena Crupi

We study the extremal Betti numbers of the class of $t$ --spread strongly stable ideals. More precisely, we determine the maximal number of admissible extremal Betti numbers for suc…

math.AC2021

On the extremal Betti numbers of squarefree monomial ideals

Luca Amata, Marilena Crupi

Let $K$ be a field and $S = K [x_{1}, \dots, x_{n}]$ be a polynomial ring over $K$ . We discuss the behaviour of the extremal Betti numbers of the class of squarefree strongly stable ideal…

math.AC2016

Extremal Betti numbers of graded modules

Marilena Crupi

Let $S$ be a polynomial ring in $n$ variables over a field $K$ of characteristic $0$ . A numerical characterization of all possible extremal Betti numbers of any graded submodule of…

math.AC2016

Bounding Betti numbers of monomial ideals in the exterior algebra

Marilena Crupi, Carmela Ferro'

Let $K$ be a field, $V$ a $K$ -vector space with basis $e_{1}, \dots, e_{n}$ , and $E$ the exterior algebra of $V$ . To a given monomial ideal $I ⊊ E$ we associate a special monomi…