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arxiv: 1304.5089 · v1 · pith:WMJXHWQMnew · submitted 2013-04-18 · 🧮 math.AC

Computing families of Cohen-Macaulay and Gorenstein rings

classification 🧮 math.AC
keywords cohen-macaulaygorensteinringsfamiliesalgorithmicbodycertaincharacterize
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We characterize Cohen-Macaulay and Gorenstein rings obtained from certain types of convex body semigroups. Algorithmic methods to check if a polygonal or circle semigroup is Cohen-Macaulay/Gorenstein are given. We also provide some families of Cohen-Macaulay and Gorenstein rings.

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