In this paper,we introduce the concept of projective object in the category of ?-left R-modules,equivalent descriptions of an projective object in the category of ?-left R-modules is investigated,a product of a bunch of ?-left R-modules is an projective object if and only if every one is an projective object is proved,?a ?-left R-module is an projective object if and only if it's every cut sets is proved to be an projective object. |