We study the relations between finitistic dimensions and restricted injective dimensions. Let
R be a ring and T a left R-module with A= End RT. If RT is selforthogonal, then we show that …

Following our previous work about quasi-projective dimension [11], in this paper, we
introduce quasi-injective dimension as a generalization of injective dimension. We recover …

Let R be a commutative Noetherian ring. If cmd R≤ 1, then it is shown that for any R-module
the large restricted injective dimension is a refinement of the Gorenstein injective dimension …

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 …

The small finitistic dimension of a ring is determined as the supremum projective dimensions
among modules with finite projective resolutions. This paper seeks to establish that, for a …

The Chouinard formula for the injective dimension of a module over a noetherian ring is
extended to Gorenstein injective dimension. Specifically, if $ M $ is a module of finite …

In this paper we prove that for any associative ring $ R $, and for any left $ R $-module $ M $
with finite projective dimension, the Gorenstein injective dimension $\mathrm {Gid} _R M …

Assume that $ R $ is a commutative Noetherian ring with non-zero identity, $\mathfrak {a} $
is an ideal of $ R $, $ X $ is an $ R $--module, and $ t $ is a non-negative integer. In this …

The global dimension gldim (R) of a Noetherian ring R, while a useful invariant when finite,
is often infinite. Several homological dimensions have been introduced to handle rings of …

Finitistic dimensions of semiprimary rings Page 1 manuscripta math, 81, 79 - 87 (1993)
manuscripta mathematica Spfi~er-~rlag 1~3 FINITISTIC DIMENSIONS OF SEMIPKIMARY …