64 citations · 304 across the 49 of their papers we have counts for
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Footprint and minimum distance functions
Luis Núñez-Betancourt, Yuriko Pitones, Rafael H. Villarreal
Let be a polynomial ring over a field , with a monomial order , and let be an unmixed graded ideal of . In this paper we study two functions associated to :…
Generalized minimum distance functions
Manuel Gonzalez-Sarabia, Jose Martínez-Bernal, Rafael H. Villarreal +1
Using commutative algebra methods we study the generalized minimum distance function (gmd function) and the corresponding generalized footprint function of a graded ideal in a poly…
Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs
Philippe Gimenez, Jose Martínez-Bernal, Aron Simis +2
In this paper we study irreducible representations and symbolic Rees algebras of monomial ideals. Then we examine edge ideals associated to vertex-weighted oriented graphs. These a…