In this paper we study the structure of two classes of modules called pseudo Cohen–
Macaulay and pseudo generalized Cohen–Macaulay modules. We also give a …

We introduce the notion of strict f-sequence and apply this concept to study the finiteness of
asymptotic sets of attached prime ideals of local cohomology modules of M, to study the …

Let (R, m) be a Noetherian local ring which is a homomorphic image of a local Gorenstein
ring and let M be a finitely generated R-module of dimension d> 0. According to Schenzel …

Let be a Noetherian local ring and let M be a finitely generated R-module of dimension d.
Let be a system of parameters of M and let be a d-tuple of positive integers. In this paper we …

We present a systematic study for the limit closure $(\underline {x})^{\lim} $ of a sequence of
elements $\underline {x} $(eg. a system of of parameters) in a local ring. Firstly, we answer …

We introduce a class of modules called generalized f-modules, which contains strictly all f-
modules and generalized Cohen–Macaulay modules. The properties of multiplicity, local …

1. Introduction Throughout this paper, R denotes a Noetherian local ring with maximal ideal
m and M a finitely generated R-modul Page 1 Japan. J. Math. Vol. 30, No. 1, 2004 A …

We present a study of the limit closure (x _) lim of a system of parameters x _ in local rings.
Firstly, we answer the question about elements which are always contained in the limit …

Let (A, m) be a commutative Noetherian local ring and M a finitely generated A-module. The
aim of this paper is to give a blow-up characterization of pseudo Buchsbaum modules …

ON MODULES WHOSE LOCAL COHOMOLOGY MODULES HAVE GENERALIZED COHEN-MACAULAY
MATLIS DUALS* Nguyen Tu Cuong, Nguyen Thai Hoa Institu Page 1 ON MODULES WHOSE …