Abstract
In this article, the new concept of relative Gorenstein flat modules is introduced. We give a survey of their behavior in terms of both structural and dimension properties. We relate the class consisting of all these new modules to those of classical Gorenstein flat modules and of relative Gorenstein injective modules, and we compare the corresponding homological dimensions. This treatment includes the study of relative strongly Gorenstein flat modules as an important and structural part of relative Gorenstein flat modules. We also tackle the classical problem of the stability of the Gorenstein condition under iterations of its construction.
2020 Mathematics Subject Classification:
Acknowledgment
The authors would like to thank the referee for the careful reading of this paper and the valuable comments.