We establish a characterization of dualizing modules among semidualizing modules. Let $
R $ be a finite dimensional commutative Noetherian ring with identity and $ C $ a …

Let C be a semidualizing module over a commutative Noetherian ring R. We investigate
duality pairs induced by C-Gorenstein projective modules. It is proven that R is Artinian if …

In this article, we study finitely generated reflexive modules over coherent GCD-domains
and finitely generated projective modules over polynomial rings. In particular, we give a …

Let $ n, d $ be two non-negative integers. A left $ R $-module $ M $ is called $(n, d) $-
injective, if ${\rm Ext}^{d+ 1}(N, M)= 0$ for every $ n $-presented left $ R $-module $ N $. A …

PROJECTIVITY AND FLATNESS OVER THE ENDOMORPHISM RING OF A FINITELY
GENERATED MODULE Page 1 IJMMS 2004:30, 1581–1588 PII. S0161171204310082 http://ijmms.hindawi.com …

For a semidualizing module C over a ring R, the class of GC–projectives, GC, the Auslander
class AC and the Bass class BC, modulo an exact zero–divisor, are studied. For an R …

Let M be a right R-module. A right R-module N is called pseudo-Mc-injective if for any
monomorphism from a closed submodule of M to N can be extended to homomorphism from …

In this short paper, we prove that a commutative Noetherian ring R is Artinian if and only if for
any nonzero R-module M there is a nonzero linear map from M into F with F flat and if and …

NOTES ON FP-PROJECTIVE MODULES AND FP-INJECTIVE MODULES 1. Introduction
Throughout this paper, all rings are associative with id Page 1 February 17, 2006 17:49 …

Let $ R $ be a Noetherian ring and let $ C $ be a semidualizing $ R $-module. In this paper,
we are concerned with the tensor and torsion product of $ C $-injective modules. Firstly, it is …