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Semigroup Forum

, Volume 88, Issue 3, pp 610–620 | Cite as

Computing families of Cohen-Macaulay and Gorenstein rings

  • J. I. García-García
  • A. Vigneron-Tenorio
RESEARCH ARTICLE

Abstract

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.

Keywords

Affine non normal semigroup Circle semigroup Cohen-Macaulay ring Cohen-Macaulay semigroup Convex body semigroup Gorenstein ring Gorenstein semigroup Polygonal semigroup 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Departamento de MatemáticasUniversidad de CádizPuerto RealSpain

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