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Abstract
A module is called a Gorenstein flat character module if its character module is Gorenstein flat. We give some characterizations of Gorenstein flat character modules and explore the relations between Gorenstein injective modules and Gorenstein flat character modules over coherent rings. Moreover, we give some new characterizations of Gorenstein injective modules and coherent rings with finite self-FP-injective dimensions.
Acknowledgment
The authors would like to thank the referee for the helpful comments and suggestions.
Additional information
Funding
This research was supported by China NSF under Grants No.11701408 and No. 11901412.