An analogue of a theorem due to Levin and Vasconcelos

Javad Asadollahi, Tony J. Puthenpurakal

Let $(R,\m)$ be a Noetherian local ring. Consider the notion of homological dimension of a module, denoted H-dim, for H= Reg, CI, CI${}_{\ast }$, G, G${}^{\ast }$ or CM. We prove that, if for a fi…