Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. For R-
modules M and N, the notions grade PC (M, N) and grade IC (M, N) are introduced as the …

Let S and R be rings and _SC_R be a semidualizing bimodule. We first give the definitions
of C-transpose and nC-torsionfree and give a criterion for a module A to be G_C-projective …

Let R be a semiperfect commutative Noetherian ring with identity and C, S be semidualizing
R-modules. We study the theory of linkage with respect to S for modules of finite GC …

Let R be a commutative Noetherian ring. In this paper, we study those finitely generated R-
modules whose Cousin complexes provide Gorenstein injective resolutions. We call such a …

We obtain some methods to construct a (strongly) proper resolution (resp. coproper
coresolution) of one end term in a short exact sequence from that of the other two terms. By …

In this article, we study the trace ideal of semidualizing modules. Also, we introduce two new
classes of rings, namely quasi nearly Gorenstein and weakly nearly Gorenstein, which are …

Let R be a commutative ring, and let C be a semidualizing R-module. We introduce the
notion of finitely presented C-injective modules, finitely presented C-flat modules, weak C …

Covers and Envelopes over gr-Gorenstein Rings Page 1 Ž . Journal of Algebra 215, 437459
1999 Article ID jabr.1998.7722, available online at http:rrwww.idealibrary.com on Covers and …

We consider two classes of modules over coherent rings: the Gorenstein FP-injective
modules, and the weakly Ding injective modules. The Gorenstein FP-injective modules are …

Let $ R $ be a commutative noetherian ring admitting a dualizing complex and let $\mathfrak
p $ be a prime ideal of $ R $. In this paper we investigate when $ G (R/\frak p) $ is an $ R …