2 citations · 3 across the 20 of their papers we have counts for
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Preservation for generation along the structure morphism of coherent algebras over a scheme
Anirban Bhaduri, Souvik Dey, Pat Lank
This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Addi…
On containment of trace ideals in ideals of finite homological dimension
Souvik Dey, Monalisa Dutta
Motivated by recent result of Pérez and R.G. on equality of test ideal of module closure operation and trace ideal, and the well-known result by Smith that parameter test ideal can…
Finite homological dimension of Hom, vanishing of Ext, and applications to divisor class group
Souvik Dey, Dipankar Ghosh
For finitely generated modules and over a commutative Noetherian local ring , we give various sufficient criteria for detecting freeness of or via vanishing of…
Test ideal restricted to principal ideals and connections to trace ideals
Souvik Dey
Motivated by some recent results of F. Pérez and R. R.G connecting test ideal of module closure operations and trace ideals, we investigate the test ideal restricted to principal i…
Two theorems on the vanishing of Ext
Olgur Celikbas, Souvik Dey, Toshinori Kobayashi +2
We prove two theorems on the vanishing of Ext over commutative Noetherian local rings. Our first theorem shows that there are no Burch ideals which are rigid over non-regular local…
Strong generation for module categories
Souvik Dey, Pat Lank, Ryo Takahashi
This article investigates strong generation within the module category of a commutative Noetherian ring. We establish a criterion for such rings to possess strong generators within…