Modules of finite homological dimension with respect to a semidualizing module
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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.
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)
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)