Modules of finite homological dimension with respect to a semidualizing module

Mathematics – Commutative Algebra

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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 Ar

Scientific paper

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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