Abstract
A module M is called t-quasi-continuous if M is t-extending and whenever A and B are nonsingular direct summands of M with , then is a direct summand of M. The class of t-quasi-continuous modules lies properly between the classes of t-continuous modules and t-extending modules. Moreover, the concept of a t-quasi-continuous module generalizes quasi-continuous modules. In this article, we give a comprehensive study of t-quasi-continuous modules.
Acknowledegments
The author would like to thank the referee for his/her careful reading and suggestions to improve the presentation of the paper.
Disclosure statement
No potential conflict of interest was reported by the author.