Abstract
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.
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This research was conducted while S.S.-W. visited the IPM in Tehran during July 2008. The research of S.Y. was supported in part by a grant from the IPM (No. 87130211).
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Sather-Wagstaff, S., Yassemi, S. Modules of finite homological dimension with respect to a semidualizing module. Arch. Math. 93, 111–121 (2009). https://doi.org/10.1007/s00013-009-0020-9
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DOI: https://doi.org/10.1007/s00013-009-0020-9