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SPECIALIZATIONS OF DIRECT LIMITS AND OF LOCAL COHOMOLOGY MODULES

Published online by Cambridge University Press:  17 May 2007

Dam Van Nhi
Dam Van Nhi
Affiliation:
Department of Mathematics, Pedagogical University Ha Noi, 136 Xuan Thuy Road, Hanoi, Vietnam ([email protected])
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Abstract

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In this paper we introduce the specialization of an $S$-module which is a direct limit of a direct system of finitely generated $S$-modules indexed by $\mathbb{N}$. This specialization preserves the Buchsbaum property, the generalized Cohen–Macaulay property and the Castelnuovo–Mumford regularity of a module.

Keywords

Primary 13A30Secondary 13D45specializationdirect limitlocal cohomolgy module
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 50 , Issue 2 , June 2007 , pp. 459 - 475
Copyright
Copyright © Edinburgh Mathematical Society 2007