9 citations · 29 across the 28 of their papers we have counts for
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math.AC2015
Proportionally modular affine semigroups
J. I. García-García, M. A. Moreno-Frías, A. Vigneron-Tenorio
This work introduces a new kind of semigroup of called proportionally modular affine semigroup. These semigroups are defined by modular Diophantine inequalities and they are…
math.AC2015
A characterization of some families of Cohen--Macaulay, Gorenstein and/or Buchsbaum rings
Juan Ignacio García-García, Daniel Marín-Aragón, Alberto Vigneron-Tenorio
We provide algorithmic methods to check the Cohen--Macaulayness, Buchsbaumness and/or Gorensteiness of some families of semigroup rings that are constructed from the dilation of bo…