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 …

Let A be a commutative local Noetherian ring with the maximal ideal m and M a finitely
generated A-module, d= dim M. It is well-known that the difference between the length and …

The aim of this paper is to study a deep connection between local cohomology annihilators
and Macaulayfication and arithmetic Macaulayfication over a local ring. Local cohomology …

The aim of this paper is to introduce a new notion of sequences called dd-sequences and
show that this notion may be convenient for studying the polynomial property of partial Euler …

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 …

Let (R, m) be a Noetherian local ring and M a finitely generated R-module with dimM= d. Let
i⩾ 0 be an integer. Following M. Brodmann and RY Sharp (2002)[BS1], the i-th pseudo …

We construct in a finitely generated module over a Cohen–Macaulay local ring several
subquotient modules. In terms of multiplicities of these subquotients, we give precise …

On Certain Length Functions Associated to a System of Parameters in Local Rings Page 1
Vetnam Journal of Mathematics 27:3 (1999) 259-272 V ii re rr ni a nm / ror rur rm ar l[ oif Mt,A.]f …

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 …

On the uniform bound of the index of reducibility of parameter ideals of a module whose
polynomial type is at most one Page 1 Arch. Math. 101 (2013), 469–478 c© 2013 Springer …