SPECIALIZATIONS OF DIRECT LIMITS AND OF LOCAL COHOMOLOGY MODULES

Abstract

AbstractIn 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.