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math.AC2025★ 3 cited
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…
math.AC2014
Attached primes of local cohomology modules under localization and completion
Le Thanh Nhan, Pham Hung Quy
Let $(R,\m)$ be a Noetherian local ring and a finitely generated -module. Following I. G. Macdonald \cite{Mac}, the set of all attached primes of the Artinian local cohomolo…
math.AC2010
On pseudo supports and non Cohen-Macaulay locus of finitely generated modules
Nguyen Tu Cuong, Le Thanh Nhan, Nguyen Thi Kieu Nga
Let $(R,\m)$ be a Noetherian local ring and a finitely generated -module with Let be an integer. Following M. Brodmann and R. Y. Sharp \cite{BS1}, the…