T-quasi continuous modules


Adhami P., Moghaderi J., TERCAN A.

QUAESTIONES MATHEMATICAE, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

Özet

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.