On Gorenstein Flat Modules

In order to research the structure and properties of modulcs overings and algebras,In this paper,by using homological methods we investigated the ralation between Gorenstein injective modules and Gorenstein flat modules,and gave a criteria theorem on Gorenstein flat modules.Meanwhile,we also obtained the con- nection between the Gorenstein flat dimension of the ideal products and modules,and relations among their Gorenstein flat dimension.