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Vietnam Journal of Mathematics 36:4(2008) 427-435

 Localization of Pseudo Generalized Cohen-Macaulay Modules

Nguyen Thi Hong Loan

Abstract.  We study the pseudo generalized Cohen-Macaulayness for finitely generated modules by using localization when the base ring is commutative Noetherian local. We extend this to the case where the ring is not necessarily local. As consequences, we get the similar results for pseudo Cohen-Macaulayness and pseudo Buchsbaumness.

2000 Mathematics Subject Classification: 13H10, 13A02, 13C99.

Keywords: Pseudo Cohen Macaulay module, pseudo Buchsbaum module, pseudo generalized Cohen Macaulay module, graded module.

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Published by Springer since January 2013