Let (R,) be a commutative Noetherian local ring. We investigate conditions for a non-finitely
generated R-module M to have a system of parameters. We prove that ifthen any system of …

Abstract The Auslander–Buchweitz theory for finitely generated modules over a Cohen–
Macaulay local ring is extended to complete modules, finitely generated or not. This also …

Let $(R,\frak m) $ be a homomorphic image of a Cohen-Macaulay local ring and $ M $ a
finitely generated $ R $-module. We use the splitting of local cohomology to shed a new light …

What we call the homological conjectures on commutative Noetherian local rings were first
collected and partially settled by C. Peskine and L. Szpiro [PS1]. The subsequent …

Local Cohomology and Sequentially Cohen-Macaulay Modules Page 1 Algebra Colloquium
c© 2011 AMSS CAS & SUZHOU UNIV Algebra Colloquium 18 (Spec 1) (2011) 815–818 Local …

Assume that ϕ:(R,±𝔪)→(S,±𝔫) is a local flat homomorphism between commutative
Noetherian local rings R and S. Let M be a finitely generated R-module. We investigate the …

Given a commutative ring R and a class [special characters omitted] of R-modules closed
under isomorphism, finite direct sums and direct summands, one can ask whether every …

Over a Cohen–Macaulay (CM) local ring, we characterize those modules that can be
obtained as a direct limit of finitely generated maximal CM modules. We point out two …

In this work we study two classical objects in algebra-maximal Cohen-Macaulay and
reflexive modules. We show the existence of a small Cohen-Macaulay module or algebra for …

TOWARD A THEORY OF GENERALIZED COHEN-MACAULAY MODULES NGO VIET
TRUNG Introduction Throughout this paper, A denotes a noetherian Page 1 NV Trung Nag …