The ground field k is assumed to be infinite. In this paper we introduce and study specializations of an inverse system of finitely generated S-modules over directed set N and of its inverse limit. Some basic properties of specializations of inverse limits and of completion of modules by specializations are developed.
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The ground field k is assumed to be infinite. In this paper we introduce and study specializations of an inverse system of finitely generated S-modules over directed set N and of its inverse limit. Some basic properties of specializations of inverse limits and of completion of modules by specializations are developed.