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 M be a finitely generated module over a Noetherian local ring (R, m) with dimM= d. Let
(x1,…, xd) be a system of parameters of M and (n1,…, nd) a set of positive integers …

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 …

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 …

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 …

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 (R, m) be a Noetherian local ring and M a finitely generated R-module. In this paper, we
study some invariants of the idealization R⋉ M of R and M such as the polynomial type …

A REMARK ON THE MONOMIAL CONJECTURE AND COHEN-MACAULAY CANONICAL
MODULES 1. Introduction Throughout this paper, (R, m) is a Noet Page 1 PROCEEDINGS OF …

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 …