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Remarks on modules approximated by G-projective modules
Ryo Takahashi
Let be a commutative Noetherian Henselian local ring. Denote by the category of finitely generated -modules, and by the full subcategory of $…
The existence of finitely generated modules of finite Gorenstein injective dimension
Ryo Takahashi
In this note, we study commutative Noetherian local rings having finitely generated modules of finite Gorenstein injective dimension. In particular, we consider whether such rings…
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…
Syzygy modules with semidualizing or G-projective summands
Ryo Takahashi
Let R be a commutative Noetherian local ring with residue class field k. In this paper, we mainly investigate direct summands of the syzygy modules of k. We prove that R is regular…