Some Effective Methods in the Openness of Loci for Cohen-Macaulay and Gorenstein Properties

  • Fabio Rossi
  • Walter Spangher
Part of the Progress in Mathematics book series (PM, volume 94)


In this paper we present some effective methods in order to compute the P-locus of a quotient A of a polynomial ring S = k[X], where P is any of the following properties: “Cohen-Macaulay (C. M.)”, “Gorenstein”, “C. M. type ≤ r”, “Complete intersection (C. I.)”. It is well known that the previous loci are open being A an excellent ring (see, for instance, [GM]).


Prime Ideal Local Ring Complete Intersection Polynomial Ring Regular Ring 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Fabio Rossi
    • 1
  • Walter Spangher
    • 1
  1. 1.Dipartimento di Scienze MatematicheUniversità degli Studi di TriesteTriesteItalia

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