M. Crupi

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math.AC2025

Edge ideals whose all matching powers are bi-Cohen-Macaulay

Marilena Crupi, Antonino Ficarra

We classify all graphs $G$ satisfying the property that all matching powers $I (G)^{[k]}$ of the edge ideal $I (G)$ are bi-Cohen-Macaulay for $1 \leq k \leq I^½ (G)$ , where $I^½ (G)$ is the m…

math.AC2025

Principal vector-spread Borel ideals

Marilena Crupi, Antonino Ficarra, Ernesto Lax

We study the class of squarefree principal vector-spread Borel ideals. We compute the minimal primary decomposition of these ideals and thereby we prove that they are sequentially…