Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A characterization of some families of Cohen--Macaulay, Gorenstein
  and/or Buchsbaum rings   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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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin