Finite-direct-injective modules

Abstract

In this paper, we generalize the concept of direct-injective modules to finite-direct-injective modules. Various basic properties of these modules are studied. We show that the class of finite-direct-injective modules lies between the class of direct-injective modules and the class of simple-direct-injective modules. Also, we characterize semisimple artinian rings, V -rings and regular rings in terms of finite-direct-injective modules. © 2018, Hacettepe University. All rights reserved.