| Let R be ring,B be a class of right R-modules.An R-module N is called a Gorenstein B cotorsion,if ExtR1(F,N)=0 for all Gorenstein B flat modules F We firstly investigate some properties of Gorenstein B cotorsion modules;Secondly.we introduce Gorenstein B cotorsion dimension of modules and study some of its properties;Finally,we give some applications of Gorenstein B cotorsion modules over commutative rings. |