We show that for a linearly compact module over a local ring (R, 𝔪), the concept of co-
support of modules provided by Melkersson is equivalent with Yassemi's concept. We also …

In this paper, we determine the structure of rings that have secondary representation (called
representable rings) and give some characterizations of these rings. Also, we characterize …

Let (R, 𝔪) be a Noetherian local ring. Denote by N-dim RA the Noetherian dimension of an
Artinian R-module A. In this paper, we give some characterizations for the ring R to satisfy N …

In this article, we study the theory and properties of co-Cohen-Macaulay modules. We show,
for example, that the colocalization of co-Cohen-Macaulay modules preserves co-Cohen …

Let R be a Noetherian ring, M an Artinian R-module, and 𝖒∈ Cos RM. Then cograde R𝔭
Hom R (R𝔭, M)= inf {i| πi (𝔭, M)> 0} and where πi (𝔭, M) is the i-th dual Bass number of M …

Let $(R,\mathfrak {m}) $ be a commutative local noetherian ring. For an artinian $ R $-
module $ M $, we show the equality $$\mathrm {cosupp} _RM=\mathrm {Cosupp} _RM …

In this paper, we give a characterization of co-Cohen Macaulay modules by vanishing
properties of the dual Bass numbers of modules. In addition, we show that the co …

Let (R, m) be a Noetherian local ring and M a finitely generated R-module with dim M= d.
This paper is concerned with the following property for the top local cohomology H {sub …

Let $ I $ be an ideal of Noetherian ring $ R $ and $ M $ a finitely generated $ R $-module. In
this paper, we introduce the concept of weakly colaskerian modules and by using this …

arXiv:1005.1754v4 [math.AC] 4 Dec 2010 Page 1 arXiv:1005.1754v4 [math.AC] 4 Dec 2010
Vanishing Theorem of Dual Bass Numbers Lingguang Li Academy of Mathematics and …