3 papers
math.AC2026
The transfer of Artinian and Cohen-Macaulay properties under module-finite extensions
Tran Do Minh Chau
This paper deals with certain classes of modules under module-finite extensions. Let be a module-finite extension between commutative Noetherian local rings…
math.AC2026
Cohen-Macaulayness of formal fibers and dimension of local cohomology modules
Tran Do Minh Chau
Let be a Noetherian local ring, a finitely generated -module of dimension . Set , whe…
math.AC2017
Sally modules of canonical ideals in dimension one and 2-AGL rings
Tran Do Minh Chau, Shiro Goto, Shinya Kumashiro +1
The notion of 2-AGL ring in dimension one which is a natural generalization of almost Gorenstein local ring is posed in terms of the rank of Sally modules of canonical ideals. The…