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local cohomolgy module

Proceedings of the Edinburgh Mathematical Society (1)

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SPECIALIZATIONS OF DIRECT LIMITS AND OF LOCAL COHOMOLOGY MODULES
Dam Van Nhi
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 50 / Issue 2 / June 2007

Published online by Cambridge University Press:

17 May 2007, pp. 459-475
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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.