Resumen de Presentations of rings with a chain of semidualizing modules

Ensiyeh Amanzadeh, Mohammad T. Dibaei

• 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