Title of article :
FINITE-DIRECT-INJECTIVE MODULES
Author/Authors :
Kumar Maurya, Sanjeev Department of Mathematical Sciences - IIT (BHU) Varanasi, India , Ji Gupta, Ashok Department of Mathematical Sciences - IIT (BHU) Varanasi, India
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.
Keywords :
C2-module , C3-module , nite-direct-injective module , regular ring
Journal title :
International Electronic Journal of Algebra
