*s-Modules

In this paper we introduce the notion of *'-modules (.v denotes static) as a generalization of *-modules different from *"-modules. The class of *-modules., contains also the class of self-small abelian groups faithfully flat over their endomorphism rings. We study characterizations *'-modules and extend successfully some results in the theory of *-modules. The relations between *'-modules and *''-modules are also considered. Finally we give characterizations of *'-modules with some special properties. (c) 2005 Elsevier Inc. All rights reserved.