Let A be a commutative neotherian ring with dim A= n. Let P be a projective A-module of
rank n having trivial determinant. In [RS], assum-ing that n= 3, we proved certain results …

In this article, we characterize several properties of commutative noetherian local rings in
terms of the left perpendicular category of the category of finitely generated modules of finite …

We obtain various characterizations of commutative Noetherian local rings $(R,\fm) $ in
terms of homological dimensions of certain finitely generated modules. For example, we …

The notion of linkage with respect to a semidualizing module is introduced. This notion
enables us to study the theory of linkage for modules in the Bass class with respect to a …

The homotopy category of complexes of projective modules Page 1 Advances in Mathematics
193 (2005) 223–232 www.elsevier.com/locate/aim The homotopy category of complexes of …

CLASSIFYING PROJECTIVE MODULES OVER SOME SEMILOCAL RINGS Page 1 September
12, 2007 10:10 WSPC/171-JAA 00252 Journal of Algebra and Its Applications Vol. 6, No. 5 …

For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

We define below a notion for modules which is dual to that of faithful, and a notion of “fully
divisible” which generalizes that of injectivity. We show that the bicommutator of a cofaithful …

A commutative ring with unit is called a aemilocal ring if it has only finitely many maximal
ideals; if it has a unique one, re call it a local ring. In thie paper, R will denote a commutative …

Let R be a left Noetherian ring, S a right Noetherian ring and RU a generalized tilting
module with S= End (RU). We give some equivalent conditions that the injective dimension …