445 citations
- Okayama UniversityJP18 papers
- Kyoto UniversityJP7 papers
- Kobe UniversityJP6 papers
- The University of OsakaJP6 papers
- The University of TokyoJP6 papers
- Boston UniversityUS5 papers
- Chonnam National UniversityKR5 papers
- Duke UniversityUS5 papers
- High Energy Accelerator Research OrganizationJP5 papers
- Institute for Cosmic Ray ResearchJP5 papers
- Miyagi University of EducationJP5 papers
- Nagoya UniversityJP5 papers
4 papers · 1 filter
On Ext-indices of ring extensions
Saeed Nasseh, Yuji Yoshino
In this paper we are concerned with the finiteness property of Ext-indices of several ring extensions. In this direction, we introduce some conjectures and discuss the relationship…
Local cohomology based on a nonclosed support defined by a pair of ideals
Ryo Takahashi, Yuji Yoshino, Takeshi Yoshizawa
We introduce an idea for generalization of a local cohomology module, which we call a local cohomology module with respect to a pair of ideals (I,J), and study their various proper…
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…
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…