2 papers
math.AC2025
On local rings of finite syzygy representation type
Souvik Dey, Kaito Kimura, Jian Liu +1
Let be a commutative Noetherian local ring. We characterize when its completion has an isolated singularity, thereby strengthening the Dao-Takahashi refinement of the Auslander…
math.AC2025
Trace ideals, conductors, and ideals of finite (phantom) projective dimension
Kaito Kimura
In this paper, we consider whether parameter test ideals, conductors, -ideals, and trace ideals are contained in an ideal whose quotient ring has finite phantom projective dimen…