Modules of finite homological dimension with respect to a semidualizing   module
  We prove versions of results of Foxby and Holm about modules of finite (Gorenstein) injective dimension and finite (Gorenstein) projective dimension with respect to a semidualizing module. We also verify special cases of a question of Takahashi and White. 
Sean Sather-Wagstaff and Siamak Yassemi