Souvik Dey

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math.AC2025

Centers of Endomorphism Rings and Reflexivity

Souvik Dey, Justin Lyle

Let $R$ be a local ring and let $M$ be a finitely generated $R$ -module. Appealing to the natural left module structure of $M$ over its endomorphism ring and corresponding center $Z…

math.AC2025

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…

math.AC2025

Coherent functors, powers of ideals, and asymptotic stability

Souvik Dey, Dipankar Ghosh, Siddhartha Pramanik +2

Let $R$ be a Noetherian ring, $I_{1}, \dots, I_{r}$ be ideals of $R$ , and $N \subseteq M$ be finitely generated $R$ -modules. Let $S = \bigoplus_{\underline{n} \in \mathbb{N}^r} S_{\under…

math.AC2023

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…