2 citations · 3 across the 20 of their papers we have counts for
20 papers
Complete intersection and quasi-homological dimensions
Souvik Dey, Luigi Ferraro, Mohsen Gheibi
We prove that, over a commutative Noetherian ring, every finitely generated module of finite complete intersection dimension has finite quasi-projective dimension. Our proof adapts…
Some Remarks About Saturation of Ideals
Souvik Dey, Stephen Landsittel
In this paper we observe when saturation of ideals in a local ring R commutes with extension along ring maps and initial ideals. We give a characterization in terms of Cohen Macaul…
Complexity and curvature of pairs of Burch modules and ideals
Souvik Dey, Dipankar Ghosh, Mouma Samanta
The complexity and curvature of a module were first introduced by Avramov to distinguish modules of infinite homological dimension. Later, Avramov-Buchweitz extended the notion of…
Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions
Souvik Dey, Michal Hrbek, Giovanna Le Gros
Over Cohen--Macaulay rings admitting a pointwise dualizing module, we show that the class of modules of restricted projective dimension bounded by any integer is finitely deconstru…
Quasi-homological dimensions with respect to semidualizing modules
Souvik Dey, Luigi Ferraro, Mohsen Gheibi
Gheibi, Jorgensen and Takahashi recently introduced the quasi-projective dimension of a module over commutative Noetherian rings, a homological invariant extending the classic proj…
Coherent functors, powers of ideals, and asymptotic stability
Souvik Dey, Dipankar Ghosh, Siddhartha Pramanik +2
Let be a Noetherian ring, be ideals of , and be finitely generated -modules. Let $S = \bigoplus_{\underline{n} \in \mathbb{N}^r} S_{\under…
When are syzygies of the residue field self-dual?
Souvik Dey
Finitely generated reflexive modules over commutative Noetherian rings form a key component of Auslander and Bridger's stable module theory and are likewise essential in the study…
Test properties of some Cohen-Macaulay modules and criteria for local rings via finite vanishing of Ext or Tor
Souvik Dey, Dipankar Ghosh, Aniruddha Saha
In this article, we show test properties, in the sense of finitely many vanishing of Ext or Tor, of CM (Cohen-Macaulay) modules whose multiplicity and number of generators (resp.,…
Complexity and curvature of (pairs of) Cohen-Macaulay modules, and their applications
Souvik Dey, Dipankar Ghosh, Aniruddha Saha
The complexity and curvature of a module, introduced by Avramov, measure the growth of Betti and Bass numbers of a module, and distinguish the modules of infinite homological dimen…
Vector space summands of lower syzygies
Mohsen Asgharzadeh, Michael DeBellevue, Souvik Dey +2
In this paper, we investigate problems concerning when the residue field of a local ring , appears as a direct summand of syzygy modules, from two perspectives…
Homological dimensions, the Gorenstein property, and special cases of some conjectures
Souvik Dey, Rafael Holanda, Cleto B. Miranda-Neto
Our purpose in this work is multifold. First, we provide general criteria for the finiteness of the projective and injective dimensions of a finite module over a (commutative)…
Closedness of the singular locus and generation for derived categories
Souvik Dey, Pat Lank
This work is concerned with a relationship regarding the closedness of the singular locus of a Noetherian scheme and existence of classical generators in its category of coherent s…
Dévissage for generation in derived categories
Souvik Dey, Pat Lank
We study a form of dévissage for generation in derived categories of Noetherian schemes. First, we extend a result of Takahashi from the affine context to the global setting, showi…
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…
Exact subcategories, subfunctors of , and some applications
Hailong Dao, Souvik Dey, Monalisa Dutta
Let be an exact category. We establish basic results that allow one to identify sub(bi)functors of using additiv…