SPECIALIZATIONS OF DIRECT LIMITS AND OF LOCAL COHOMOLOGY MODULES

Dam Van Nhi
2007 Proceedings of the Edinburgh Mathematical Society  
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 N. This specialization preserves the Buchsbaum property, the generalized Cohen-Macaulay property and the Castelnuovo-Mumford regularity of a module.
doi:10.1017/s0013091505000891 fatcat:ph6eslsfurb3hojtnciguubhcm