Modules of finite homological dimension with respect to a semidualizing module
S Sather-Wagstaff, S Yassemi - Archiv der Mathematik, 2009 - Springer
Archiv der Mathematik, 2009•Springer
… 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. … The homological
dimensions of interest in this paper are built from semidualizing modules and their associated
projective and injective classes, defined next. Semidualizing modules occur in the literature
with several different names, eg, in the work of Foxby [3], Golod [9], Mantese and Reiten [17], …
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. … The homological
dimensions of interest in this paper are built from semidualizing modules and their associated
projective and injective classes, defined next. Semidualizing modules occur in the literature
with several different names, eg, in the work of Foxby [3], Golod [9], Mantese and Reiten [17], …
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.
Springer
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