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 …

TILTING THEORY FOR GORENSTEIN RINGS IN DIMENSION ONE Page 1 Forum of Mathematics,
Sigma (2020), Vol. 8, e36, 37 pages doi:10.1017/fms.2020.28 1 TILTING THEORY FOR …

In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …

In commutative ring theory, the notion of Gorenstein rings has been studied widely. For rings
having finite Krull dimension, Bass showed the characterization of Gorenstein rings as rings …

In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …

For a finite-dimensional algebra Λ and a nonnegative integer n, we characterize when the
set tilt n Λ of additive equivalence classes of tilting modules with projective dimension at …

Tilting modules and Auslander’s Gorenstein property Page 1 Journal of Algebra 275 (2004)
3–39 www.elsevier.com/locate/jalgebra Tilting modules and Auslander’s Gorenstein property …

Let R be a left noetherian ring, S a right noetherian ring and UR a generalized tilting module
with S= End (UR). The injective dimensions of UR and US are identical provided both of …

In 1966, Auslander introduced the notion of the $ G $-dimension of a finitely generated
module over a Cohen-Macaulay noetherian ring and found the basic properties of these …

A central problem in the theory of Gorenstein dimensions over commutative noetherian rings
is to find resolution-free characterizations of the modules for which these invariants are finite …