Study Of F-Gorenstein Flat Complexes And Dimension

We investigate the relevant property of F-Gorenstein flat complexes for an arbi-trary ring in this article.Firstly,we give some characterizations of F-Gorenstein flat complexes.Secondly,we show that the class of F-Gorenstein flat complexes is pro-jective resolving,closed under direct sums and direct summands.Finally,we obtain some characterizations of the F-Gorenstein flat dimension of complexes.As an appli-cation,it was given that if the F-Gorenstein flat dimension of all complexes equals or less than 1,then tue pair(H(F),H(F)⊥)forms a complete and hereditary cotorsion pair,where H(F)denotes the class of F-Gorenstein flat complexes.