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 …

Let $ R $ be a commutative Noetherian local ring and $ M $ a finitely generated $ R $-
module. We introduce a general form of the classically studied trace map that unifies several …

We survey some recent developments in understanding homological properties of finitely
generated modules over a complete intersection. These properties mainly concern with …

Let R be a commutative Noetherian ring and I a proper ideal of R. In this paper, we study
finitely generated R-modules M with only one non-vanishing local cohomology module\({H} …

We study the R-modules M which are finitely generated, quasi-projective and self-generator
(briefly called FQS FQS modules). We extend some basic results from semiprime rings to …

Let R be a commutative noetherian local ring. As an analog of the notion of the dimension of
a triangulated category defined by Rouquier, the notion of the dimension of a subcategory of …

If $ R $ is a ring with 1, we call a unital left $ R $-module $ M $ co-Hopfian (Hopfian) in the
category of left $ R $-modules if any monic (epic) endomorphism of $ M $ is an …

Let R be a commutative Noetherian ring. We give criteria for flatness of R-modules in terms
of associated primes and torsion-freeness of certain tensor products. This allows us to …

Almost-Flat Modules Page 1 Czechoslovak Mathematical Journal, 53 (128) (2003), 479–489
ALMOST-FLAT MODULES ¡£¢¤¡¥¦ §© , Cluj-Napoca (Received June 26, 2000) Abstract …

This paper provides two new characterizations of RM-domains, ie domains satisfying the
restricted minimum condition. A Noetherian domain is a RM-domain if and only if every …