On the subcategories of n-torsionfree modules and related modules

• Dey, Souvik ^[1] ; Takahashi, Ryo ^[2]
  1. [1] University of Kansas

     University of Kansas

     City of Lawrence, Estados Unidos

     
  2. [2] Nagoya University

     Nagoya University

     Naka-ku, Japón

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 1, 2023, págs. 113-132
• Idioma: inglés
• DOI: 10.1007/s13348-021-00338-1
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let R be a commutative noetherian ring. Denote by {\textsf{mod }}\,R the category of finitely generated R-modules. In this paper, we study n-torsionfree modules in the sense of Auslander and Bridger, by comparing them with n-syzygy modules, and modules satisfying Serre’s condition (\mathrm {S}_n). We mainly investigate closedness properties of the full subcategories of {\textsf{mod }}\,R consisting of those modules.