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math.AC2026
On the regularity index of the minimum distance function in projective nested Cartesian codes
Cicero Carvalho, Maria Vaz Pinto, Rafael H. Villarreal
Let be a projective nested product of fields and let be the minimum distance in degree of the projective nested Cartesian code . The regularity inde…
math.AC2025
Graph rings and ideals: Wolmer Vasconcelos' contributions
Maria Vaz Pinto, Rafael H. Villarreal
This is a survey article featuring some of Wolmer Vasconcelos' contributions to commutative algebra, and explaining how Vasconcelos' work and insights have contributed to the devel…
math.AC2024
Symbolic powers: Simis and weighted monomial ideals
Fernando O. Méndez, Maria Vaz Pinto, Rafael H. Villarreal
The aim of this work is to compare symbolic and ordinary powers of monomial ideals using commutative algebra and combinatorics. Monomial ideals whose symbolic and ordinary powers c…