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Modules of finite homological dimension with respect to a semidualizing module
Authors:Sean Sather-Wagstaff  Siamak Yassemi
Institution:(1) Department of Mathematics, NDSU Dept # 2750, PO Box 6050, Fargo, ND 58108-6050, USA;(2) Department of Mathematics, University of Tehran, P.O. Box 13145–448, Tehran, Iran;(3) School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran
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. 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).
Keywords:Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000)  13C05  13D05  13H10
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