Presentations of rings with a chain of semidualizing modules

• Ensiyeh Amanzadeh ^[1] ; Mohammad T. Dibaei ^[1]
  1. [1] Kharazmi University

     Kharazmi University

     Irán

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 121, Nº 2, 2017, págs. 161-185
• Idioma: inglés
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• Resumen

  • Inspired by Jorgensen et al., it is proved that if a Cohen-Macaulay local ring R with dualizing module admits a suitable chain of semidualizing R-modules of length n, then R≅Q/(I1+⋯+In) for some Gorenstein ring Q and ideals I1,…,In of Q; and, for each Λ⊆[n], the ring Q/(∑ℓ∈ΛIℓ) has some interesting cohomological properties. This extends the result of Jorgensen et al., and also of Foxby and Reiten