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math.AC2007
Asymptotic Behaviour of Parameter Ideals in Generalized Cohen-Macaulay Modules
Nguyen Tu Cuong, Hoang Le Truong
The purpose of this paper is to give affirmative answers to two open questions as follows. Let $(R, \m)$ be a generalized Cohen-Macaulay Noetherian local ring. Both questions, the…
math.AC2007
Parametric Decomposition of Powers of Parameter Ideals and Sequentially Cohen-Macaulay Modules
Nguyen Tu Cuong, Hoang Le Truong
Let be a finitely generated module of dimension over a Noetherian local ring $(R,\m)$ and $\q $ the parameter ideal generated by a system of parameters $\x = (x_1,..., x_d)…