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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.AC2025
A note on the class of sober rings
Saeid Jafari, Ernesto Lax
We study sober rings, a class of commutative rings in which every prime non-maximal ideal is not the intersection of the prime ideals strictly containing it. We establish basic str…