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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…
math.CO2025
Generalizing blocking semiovals in finite projective planes
Marilena Crupi, Antonino Ficarra
Blocking semiovals and the determination of their (minimum) sizes constitute one of the central research topics in finite projective geometry. In this article we introduce the conc…
math.AC2025
Edge ideals whose all matching powers are bi-Cohen-Macaulay
Marilena Crupi, Antonino Ficarra
We classify all graphs satisfying the property that all matching powers of the edge ideal are bi-Cohen-Macaulay for , where is the max…