Abstract: Firstly, GP-flat modules which are more widely than flat modules are introduced in the paper, the equivalent characterization of GP-flat modules, direct product and direct sum, and the relation of GP-flat modules and GP-injective modules are discussed. Secondly, some special rings are discussed by GP-flat modules. Finally,we described GP-flat dimensions and discussed some relations between GP-flat dimensions and GP-regular rings and IGPF rings.

Key words: GP-flat modules, GP-coherent rings, flat modules, GP-injective modules