2 citations · 3 across the 20 of their papers we have counts for
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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…