3 papers
math.AC2026
On the ubiquity of uniformly dominant local rings
Toshinori Kobayashi, Ryo Takahashi
Let R be a d-dimensional Cohen-Macaulay complete local ring with infinite residue field k. The dominant index is by definition the least number of extensions…
math.AC2025
Classifying KE-closed subcategories over a commutative noetherian ring
Toshinori Kobayashi, Shunya Saito
Let denote the category of finitely generated -modules for a commutative noetherian ring . In this paper, we investigate KE-closed subcategories of $\mathsf{…
math.RT2023
When are KE-closed subcategories torsion-free classes?
Toshinori Kobayashi, Shunya Saito
Let be a commutative noetherian ring and denote by the category of finitely generated -modules. In this paper, we study KE-closed subcategories of $\mathsf{…