Let (R, m) be a Cohen–Macaulay local ring of dimension d, C a canonical R-module and M
an almost Cohen–Macaulay R-module of dimension n and of depth t. We prove that dim Ext …

About a Serre-type condition for modules Page 1 Journal of Algebra and Its Applications Vol.
16, No. 11 (2017) 1750206 (6 pages) c© World Scientific Publishing Company DOI: 10.1142/S0219498817502061 …

Let $ R= k [x_1,\ldots, x_n] $ be the polynomial ring in $ n $ variables over a field $ k $ and
let $ I $ be a monomial ideal of $ R $. In this paper, we study almost Cohen-Macaulay …

We notice the connection between almost Cohen-Macaulay rings and the Cohen-Macaulay
defect. We introduce a Serre-type condition for modules, that is connected to the Cohen …

Tensor products and direct limits of almost Cohen–Macaulay modules Page 1 Journal of
Algebra and Its Applications Vol. 17, No. 12 (2018) 1850221 (11 pages) c© World Scientific …

A finitely generated module $ M $ over a commutative Noetherian ring $ R $ is called an $ I
$-Cohen Macaulay module, if\[\grade (I, M)+\dim (M/IM)=\dim (M),\] where $ I $ is a proper …

In this paper we study almost Cohen-Macaulay bipartite graphs. Furthermore, we prove that
if $ G $ is almost Cohen-Macaulay bipartite graph with at least one vertex of positive degree …

Throughout this paper, R denotes a commutative Noetherian ring with unit element, and M
denotes a non-zero finitely generated R-module of dimension n. The concept of sequentially …

Let (R, m) be a commutative Noetherian ring, I an ideal of R and M a nonzero finitely
generated R-module. We show that if M and H0 (I, M) are aCM R-modules and I=(x1,..., xn+ …

Abstract Let (R, m)(R, m) be a local ring and M a non-zero finitely generated R-module of
dimension d. The main purpose of this paper is to provide a characterization of almost …