Stable set rings which are Gorenstein on the punctured spectrum

• Hibi, Takayuki ^[1] ; Stamate, Dumitru I. ^[2]
  1. [1] Osaka University

     Osaka University

     Kita Ku, Japón

     
  2. [2] University of Bucharest

     University of Bucharest

     Sector 3, Rumanía

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 1, 2023, págs. 219-224
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • The non-Gorenstein locus of stable set rings of finite simple perfect graphs is studied. We describe combinatorially those perfect graphs whose stable set rings are Gorenstein on the punctured spectrum. In addition, we show that, in general, for Cohen–Macaulay graded algebras, their Cohen–Macaulay type and residue are largely independent.