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arXiv · 1507.04536

A characterization of some families of Cohen--Macaulay, Gorenstein and/or Buchsbaum rings

Juan Ignacio García-García·Daniel Marín-Aragón·Alberto Vigneron-Tenorio
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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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Juan Ignacio García-García, Daniel Marín-Aragón, Alberto Vigneron-Tenorio. 2015-07-16. A characterization of some families of Cohen--Macaulay, Gorenstein and/or Buchsbaum rings. https://arxiv.org/abs/1507.04536

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