4 citations · 9 across the 13 of their papers we have counts for
6 papers · 1 filter
n-trivial extensions and multi Hasse-Schmidt derivations
Paul Barajas, Daniel Duarte
We propose a generalization of Hasse-Schmidt derivations that is equivalent to the notion of n-trivial extension introduced by Anderson-Bennis-Fahid-Shaiea, in the same way that de…
A semigroup defining the Gröbner degeneration of a toric ideal
Hernán de Alba Casillas, Daniel Duarte, Raúl Vargas Antuna
We give an explicit set of generators for the semigroup of the Gröbner degeneration of a toric ideal. This set of generators is used to study algebraic properties of the semigroup…
On the multiplicity and regularity index of toric curves
Daniel Duarte, Alondra Ramírez Sandoval
In this note we revisit the problem of determining combinatorially the multiplicity at the origin of a toric curve. In addition, we give the exact value of the regularity index of…
On the -torsion of the module of differentials of order of hypersurfaces
Hernán de Alba, Daniel Duarte
We characterize the -torsion freeness of the module of differentials of order of a point of a hypersurface in terms of the singular locus of the corresponding local ring.
On the module of differentials of order of hypersurfaces
Paul Barajas, Daniel Duarte
We give an explicit presentation of the module of differentials of order of a finitely generated algebra via a higher-order Jacobian matrix. We use the presentation to study so…
Cohen-Macaulayness of triangular graphs
Hernan de Alba, Walter Carballosa, Daniel Duarte +1
We study the Cohen-Macaulay property of triangular graphs . We show that , and are Cohen-Macaulay graphs, and that , , and are not Cohen…