N-Strongly Gorenstein Flat Modules And Complexes With Respect To Duality Pairs

Let B be a class of right R-modules.At first,we introduced projectively core-solved n-strongly Gorenstein B-flat modules and discussed the homological proper-ties of these modules.Secondly,we introduced n-strongly Gorenstein flat module with respect to duality pair(X,y).At the same time,we gave some equivalen-t descriptions of Gorenstein flat complexes with respect to perfect and symmetric duality pair(X,y),then checked the stability of these complexes.At last,on the category of complexes of left R-modules,we gave some equivalent conditions of the class of Gorenstein flat complexes with respect to the duality pairs be closed under extensions.