5 papers · 2 filters
Centers of Endomorphism Rings and Reflexivity
Souvik Dey, Justin Lyle
Let be a local ring and let be a finitely generated -module. Appealing to the natural left module structure of over its endomorphism ring and corresponding center $Z…
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…
Extremal behavior of ideals of minors
Trung Chau, Michael DeBellevue, Souvik Dey +2
Let be either a fiber product or an artinian stretched Gorenstein ring, with in the latter case. We prove that the…
Openness with respect to levels in triangulated categories
Souvik Dey, Jian Liu, Liran Shaul
Given a compactly generated triangulated category equipped with an action of a graded-commutative Noetherian ring , generalizing results of Letz, we prove a genera…
Generation of singularity categories and infinite injective dimension locus via annihilation of cohomologies
Souvik Dey, Jian Liu, Yuki Mifune +1
Let R be a commutative Noetherian ring. We establish a close relationship between the strong generation of the singularity category of R and the nonvanishing of the annihilator of…