A characterization of some families of Cohen--Macaulay, Gorenstein and/or Buchsbaum rings
classification
🧮 math.AC
keywords
familiesringssomesemigroupalgorithmicboundedbuchsbaumbuchsbaumness
read the original abstract
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 bounded convex polyhedrons of $\R^3_{\geq}$. Some families of semigroup rings are given satifying these properties.
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