11 citations · 19 across the 8 of their papers we have counts for
14 papers
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 index…
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…
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…
Joins, Ears and Castelnuovo-Mumford regularity
Jorge Neves, Maria Vaz Pinto, Rafael H. Villarreal
We introduce a new class of polynomial ideals associated to a simple graph, . Let be the polynomial ring on the edges of and the polynomial ring on the ver…
Evaluation codes and their basic parameters
Delio Jaramillo, Maria Vaz Pinto, Rafael H. Villarreal
The aim of this work is to give degree formulas for the generalized Hamming weights of evaluation codes and to show lower bounds for these weights. In particular, we give degree fo…
Generalized minimum distance functions and algebraic invariants of Geramita ideals
Susan M. Cooper, Alexandra Seceleanu, Stefan O. Tohaneanu +2
Motivated by notions from coding theory, we study the generalized minimum distance (GMD) function of a graded ideal in a polynomial ring over an arbitrary field usin…