On the depth of simplicial affine semigroup rings

• Jafari, Raheleh ^[1] ; Ojeda, Ignacio ^[2]
  1. [1] Kharazmi University

     Kharazmi University

     Irán

     
  2. [2] Universidad de Extremadura

     Universidad de Extremadura

     Badajoz, España

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 76, Fasc. 1, 2025, págs. 133-150
• Idioma: inglés
• DOI: 10.1007/s13348-023-00424-6
• Enlaces
  • Texto completo
• Resumen

  • We recall and delve into the different characterizations of the depth of an affine semigroup ring, providing an original characterization of depth two in three and four dimensional cases which are closely related to the existence of a maximal element in certain Apéry sets.

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