E. Lax

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20232025

most citedMatchings, Squarefree Powers and Betti Splittings

2 citations · 3 across the 6 of their papers we have counts for

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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★ 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…