3 citations · 3 across the 8 of their papers we have counts for
9 papers
Buchsbaum modules and parameter ideals under flat extensions
Nguyen Thi Hong Loan, Le Thanh Nhan, Pham Hung Quy
Let and be commutative Noetherian local rings, let be a flat local homomorphism. In this paper, we first characterize the ascent and descen…
On the pertubations of E-depth, Ef-depth and sequentially Cohen-Macaulay locus
Doan Trung Cuong, Le Thanh Nhan, Nguyen Xuan Linh
Let (R,m) be a Noetherian local ring, I an ideal of R and M a finitely generated R-module. In this paper, we define and study E-depth and Ef-depth of M in I. We prove that E-depth…
Ascent and descent of Artinian module structures under flat base changes
Tran Do Minh Chau, Le Thanh Nhan
Let be a flat local homomorphism between commutative Noetherian local rings. In this paper, the ascent and descent of Artinian module structures between and…
On sequentially Cohen-Macaulay modules and sequentially generalized Cohen-Macaulay modules
Nguyen Xuan Linh, Le Thanh Nhan
We introduce the notions of sequential sequence and sequential f-sequence in order to characterize sequentially Cohen-Macaulay modules and sequentially generalized Cohen-Macaulay m…
Annihilator of local cohomology modules under localization and completion
Nguyen Thi Anh Hang, Le Thanh Nhan
Let be a Noetherian local ring. This paper deals with the annihilator of Artinian local cohomology modules in the relation with the structure of t…
Reducibility index and sum-reducibility index
Tran Nguyen An, Tran Duc Dung, Shinya Kumashiro +1
Let be a Noetherian ring. For a finitely generated -module , Northcott introduced the reducibility index of , which is the number of submodules appearing in an irredun…