In this paper we extend the projective properties of representations of a quiver

as left R-modules to the projective properties of representations of quiver

as left

-modules. We show that if P is a projective left R-module then

is a projective representation of a quiver

as

-modules. And we show

is a projective representation of

as R-module if and only if

is a projective representation of a quiver

as

-modules. Then we show if P is a projective left R-module then

is a projective representation of a quiver

as

-modules. We also show that if

is a projective representation of

as R-module, then

is a projective representation of a quiver

as

-modules.