On Cohen-Macaulay and Gorenstein simplicial affine semigroups
On Cohen-Macaulay and Gorenstein simplicial affine semigroups
We give arithmetic characterizations which allow us to determine algorithmically when the semigroup ring associated to a simplicial affine semigroup is Cohen-Macaulay and/or Gorenstein. These characterizations are then used to provide information about presentations of this kind of semigroup and, in particular, to obtain bounds for the cardinality of their …