IG-projective modules

This paper concerns finitely generated modules over Artin algebras. We introduce the notion of an IG-projective module and use this to prove that if, over such an algebra R, each simple module is strongly Gorenstein projective, then any indecomposable R-module is either projective or simple. We also prove that if R is local and the simple module is IG-projective, then 1-self-orthogonal modules are projective.