M. Crupi

activity

20092025

most citedUpper bounds for Extremal Betti Numbers of

t

-Spread Strongly Stable Ideals

4 citations · 15 across the 20 of their papers we have counts for

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5 papers · 1 filter

math.AC2023

Very well-covered graphs via the Rees algebra

Marilena Crupi, Antonino Ficarra

A very well-covered graph is a well-covered graph without isolated vertices such that the size of its minimal vertex covers is half of the number of vertices. If $G$ is a Cohen-Mac…

math.AC2023★ 2 cited

Matchings, Squarefree Powers and Betti Splittings

Marilena Crupi, Antonino Ficarra, Ernesto Lax

Let $G$ be a finite simple graph and let $I (G)$ be its edge ideal. In this article, we deeply investigate the squarefree powers of $I (G)$ by means of Betti splittings. When $G$ is…

math.AC2023

Very well-covered graphs by Betti splittings

Marilena Crupi, Antonino Ficarra

A very well-covered graph is an unmixed graph without isolated vertices such that the height of its edge ideal is half of the number of vertices. We study these graphs by means of…

math.AC2023★ 1 cited

Mapping cones of monomial ideals over exterior algebras

Marilena Crupi, Antonino Ficarra, Ernesto Lax

Let $K$ be a field, $V$ a finite dimensional $K$ -vector space and $E$ the exterior algebra of $V$ . We analyze iterated mapping cone over $E$ . If $I$ is a monomial ideal of $E$ with…

math.AC2023

Macaulay's theorem for vector-spread algebras

Marilena Crupi, Antonino Ficarra, Ernesto Lax

Let $S = K [x_{1}, \dots, x_{n}]$ be the standard graded polynomial ring, with $K$ a field, and let $t = (t_{1}, \dots, t_{d - 1}) \in Z_{\geq 0}^{d - 1}$ , $d \geq 2$ , be a $(d - 1)$ -tuple…