• 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

  • Pages
    10
  • From page
    143
  • To page
    152
  • 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
  • Serial Year
    2018
  • Full Text URL
    dergipark.org.tr/en/download/article-file/398835
  • Record number

    2600087

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2600087