In this paper we study the finiteness of global Gorenstein AC-homological dimensions for
rings, and answer the questions posed by Becerril, Mendoza, Pérez and Santiago. As an …

We apply tilting theory to study modules of finite projective dimension. We introduce the
notion of finite and cofinite type for tilting and cotilting classes of modules, respectively …

This paper is a continuation of the papers J. Pure Appl. Algebra, 210 (2007), 437–445 and J.
Algebra Appl., 8 (2009), 219–227. Namely, we introduce and study a doubly filtered set of …

Let (R, 𝔪) be a commutative Noetherian local ring and M an R-module which is relative
Cohen-Macaulay with respect to a proper ideal 𝔞 of R, and set n:= ht M𝔞. We prove that …

Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …

Let $ I $ be an integrally closed ideal in a commutative Noetherian ring $ A $. Then the local
ring $ A_ {\mathfrak {p}} $ is regular (resp. Gorenstein) for every $\mathfrak {p}\in\mathrm …

Starting from the notion of totally reflexive modules, we survey the theory of Gorenstein
homological dimensions for modules over commutative rings. The account includes the …

Full article: On (Strongly) Gorenstein Von Neumann Regular Rings Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …

Let R be a ring with an identity and, for a left Λ-module RM, pd (M) and ίd (M) denote the
projective and injective dimension of RM, respectively. A (left and right) noether ring R is …

Let R be a local ring and M a finitely generated R-module. The complete intersection
dimension of M–defined by Avramov, Gasharov and Peeva, and denoted–is a homological …