2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228323We 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.9 pages, uses xypic; v2 is mostly a minor revision, with the addition of Corollary 2.14, v.3 is final version, to appear in Archiv der Mathematik (Basel)Commutative Algebra13C05, 13D05, 13H10Modules of finite homological dimension with respect to a semidualizing moduletext