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math.AC2023★ 3 cited
Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes
Manuel González-Sarabia, Humberto Muñoz-George, Jorge A. Ordaz +2
For projective Reed--Muller-type codes we give a global duality criterion in terms of the v-number and the Hilbert function of a vanishing ideal. As an application, we provide a gl…
math.AC2023★ 1 cited
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…