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 …

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 …

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 …

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 …

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

Let (R, 𝔪) be a Noetherian local ring and M a finitely generated R-module. In this paper, we
improve and extend some known relations among the non-Cohen–Macaulay locus nCM …

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 …

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 …