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05/03/2014, 14:20
... n1 n2 B (B/(x1 , x2 )B) = n1 n2 ∨ B ((B/(x1 , x2 )B) ) = B (0 :B ∨ ((xn1 , xn2 )B) Hence, B (0 :B ∨ (xn1 , xn2 )R) = n1 n2 · e(x1 , x2 ; B) + min{n1 , n2 } Moreover, because t B (B/(x1 , x2 ) ... 179-196 Cuong, N.T and Nhan, L.T, On the Noetherian dimension of Artinian modules, Vietnam J Math 30 (2) (20 02) , 121 -130 Cuong, N.T and Nam, T.T, The I-adic completion and local homology for Artinian ... applications, Cambridge University Press 1998 Cuong, N T and Nhan, L T, Dimension, multiplicity and Hilbert function of Artinian modules, East-West J Math (2) (1999), 179-196 Cuong, N.T and Nhan,...