Finite-direct-injective modules

Year 2018, Volume: 23 Issue: 23, 143 - 152, 11.01.2018

Sanjeev Kumar Maurya Ashok Ji Gupta

https://doi.org/10.24330/ieja.373656

Cited By: 2

Abstract

In this paper, we generalize the concept of direct-injective modules

to finite-direct-injective modules. Various basic properties of these modules are

studied. We show that the class of finite-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 finite-direct-injective modules.

Keywords

C2-module, C3-module, nite-direct-injective module, regular ring

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