Let R and S be rings and RCS a semidualizing bimodule, and let T be a subcategory of the
Auslander class AC (S) and H={C⊗ ST| T∈ T}. Then for any left R-module M, the T …

Let R be a left and right Noetherian ring. We introduce the notion of the torsionfree
dimension of finitely generated R-modules. For any n 0, we prove that R is a Gorenstein ring …

Let C be a semidualizing module for a commutative ring R. In this paper, we study the
resulting modules of finite GC-projective dimension in Bass class, showing that they admit …

COHERENT POWER SERIES RING AND WEAK GORENSTEIN GLOBAL DIMENSION Page 1
Glasgow Math. J. 55 (2013) 533–536. C Glasgow Mathematical Journal Trust 2013 …

We define and studyco-Noetherian dimension of rings for which the injective envelopeof
simple modules have finite Krull-dimension. This is a Moritainvariant dimension that …

We prove that if the Frobenius functor F (from the category of left R-modules to the category
of left S-modules) is faithful, then for any R-module X, the Gorenstein flat dimension of X is …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is proved
that FPD (R)= sup {GPC− pd R (M)| M∈ BC (R) and GPC− pd R (M)<∞}, which is a …

INTRODUCTION. The main results of this paper show that homological dimensions over a
fully bounded noetherian (FBN) ring R may be computed using just simple R-modules, as …

This article is concerned with the strongly Gorenstein flat dimensions of modules and rings.
We show this dimension has nice properties when the ring is coherent, and extend the well …

For a left module M over a ring R, pd (M) and id (M) denote the projective and injective
dimension of M, respectively. A (left and right) noether ring R is called n-Gorenstein for an n> …