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math.AC2009
A generalization of a theorem of Foxby
Tokuji Araya, Ryo Takahashi
In this paper, it is proved that a commutative noetherian local ring admitting a finitely generated module of finite projective and injective dimensions with respect to a semiduali…
math.AC2008
The Auslander-Reiten conjecture for Gorenstein rings
Tokuji Araya
The Nakayama conjecture is one of the most important conjectures in ring theory. The Auslander-Reiten conjecture is closely related to it. The purpose of this note is to show that…