22 citations · 23 across the 3 of their papers we have counts for
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math.AC2005★ 1 cited
Homological invariants associated to semi-dualizing bimodules
Tokuji Araya, Ryo Takahashi, Yuji Yoshino
Cohen-Macaulay dimension for modules over a commutative noetherian local ring has been defined by A. A. Gerko. That is a homological invariant sharing many properties with projecti…
math.AC2004
A functorial approach to modules of G-dimension zero
Yuji Yoshino
Let be a commutative Noetherian ring and let $\G$ be the category of modules of G-dimension zero over . We denote the associated stable category by $\pG$. We show that the f…
math.AC2003★ 22 cited
Modules of G-dimension zero over local rings with the cube of maximal ideal being zero
Yuji Yoshino
Let $(R, \m)$ be a commutative Noetherian local ring with $\m^3 =(0)$. We give a condition for to have a non-free module of G-dimension zero. We shall also construct a family o…