Characterizing local rings via homological dimensions and regular sequences

Shokrollah Salarian, Sean Sather-Wagstaff, Siamak Yassemi

Let (R,m) be a Noetherian local ring of depth d and C a semidualizing R-complex. Let M be a finite R-module and t an integer between 0 and d. If G_C-dimension of M/IM is finite for…