Let. This improves a result of Christensen, Iyengar and Marley by lowering the bound on n.
We also improve existing results on Tor-rigidity. This progress is driven by the existence of …

Let p be a prime ideal in a commutative noetherian ring R and denote by k (p) the residue
field of the local ring R_p. We prove that if an R-module M satisfies Ext_R^ n (k (p), M)= 0 for …

Let p be a prime ideal in a commutative noetherian ring R and denote by k (p) the residue
field of the local ring R_p. We prove that if an R-module M satisfies Ext_R^ n (k (p), M)= 0 for …

Let be a prime ideal in a commutative noetherian ring R and denote by the residue field of
the local ring. We prove that if an R-module M satisfies for some, then holds for all. This …

Let p be a prime ideal in a commutative noetherian ring R and denote by k (p) the residue
field of the local ring Rp. We prove that if an R-module M satisfies Extn R (k (p), M)= 0 for …