T-quasi continuous modules


Adhami P., Moghaderi J., TERCAN A.

QUAESTIONES MATHEMATICAE, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2019
  • Doi Number: 10.2989/16073606.2019.1694596
  • Title of Journal : QUAESTIONES MATHEMATICAE

Abstract

In this paper, we investigate the t-quasi continuous property for modules. It is proved that M is t-quasi continuous, if and only if M is a direct sum of a Z(2)-torsion module and a quasi-continuos module. Moreover we characterize the rings R for which certain R-modules are t-quasi continuous. We show that every R-module is t-quasi continuous, if and only if R-(N) is t-quasi continuous, if and only if every free R-module is t-quasi continuous.