Magnitude of modules Page 1 COMMUNICATIONS IN ALGEBRA, 23(1 l), 3993-4008 (1995)
MAGNITUDE OF MODULES SIAMAK YASSEMI Matematisk Institut, Universitetsparken 5 …

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 …

Let R be a commutative Noetherian ring, and let M and N be R-modules. It is shown that
\sup\left{i\left|Tor\right._i^R\left(M,N\right)≠0\right\}=\sup\left{depthR_p-depth_R_pM_p …

We prove the depth formula, for homologically bounded complexes X, Y provided that the
complete intersection flat dimension of X is finite and. In particular, let M and N be two R …

Given an essentially finite type morphism of schemes f: X--> Y and a positive integer d, let
f^{d}: X^{d}--> Y denote the natural map from the d-fold fiber product, X^{d}, of X over Y …

Over a commutative noetherian ring, we introduce a generalization of Gorenstein projective
and injective modules, which we call, respectively, n-Gorenstein projective and injective …

A Bass Formula for Gorenstein Injective Dimension Page 1 Communications in Algebra®, 35:
1882–1889, 2007 Copyright © Taylor & Francis Group, LLC ISSN: 0092-7872 print/1532-4125 …

A notion of rigidity with respect to an arbitrary semidualizing complex C over a commutative
noetherian ring R is introduced and studied. One of the main result characterizes C-rigid …

Ext-finite modules were introduced and studied by Enochs and Jenda. We prove under
some conditions that the depth of a local ring is equal to the sum of the Gorenstein injective …

We introduce new homological dimensions, namely the Cohen-Macaulay projective,
injective and flat dimensions for homologically bounded complexes. Among other things we …