Let R be a commutative Noetherian ring of Krull dimension d, and let a be an ideal of R. In
this paper, we will study the strong cotorsioness and the Gorenstein injectivity of the section …

Some Remarks on Index and Generalized Loewy Length of a Gorenstein Local Ring Page 1 Ž .
JOURNAL OF ALGEBRA 187, 150162 1997 ARTICLE NO. JA976770 Some Remarks on Index …

Given surjective homomorphisms R→ T← S of local rings, and ideals in R and S that are
isomorphic to some T-module V, the connected sum R⋕ TS is defined to be the ring …

The main result asserts that a local commutative Noetherian ring is Gorenstein, if it
possesses a non-zero cyclic module of finite Gorenstein injective dimension. From this …

In this paper, we examine the class of modules of finite Gorenstein projective dimension and
study approximations of modules in that class by modules which are either Gorenstein …

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 this paper we are going to develop a theory of Gorensteinness in graded rings associated
to certain filtrations of ideals in Gorenstein local rings. Let A be a Cohen–Macaulay local ring …

A note on quasi-Gorenstein rings Page 1 Arch. Math. 91 (2008), 318–322 c© 2008 Birkhäuser
Verlag Basel/Switzerland 0003/889X/040318-5, published online 2008-08-28 DOI …

In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …

ASCENT and DESCENT OF GORENSTEIN PROPERTY Page 1 Glasgow Math. J. 46 (2004)
205–210. C 2004 Glasgow Mathematical Journal Trust. DOI: 10.1017/S001708950300168X …