D. Ghosh

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20172023

most citedAsymptotic Prime Divisors Related to Ext, Regularity of Powers of Ideals, and Syzygy Modules

2 citations · 2 across the 1 of their papers we have counts for

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math.AC2023

Finite homological dimension of Hom, vanishing of Ext, and applications to divisor class group

Souvik Dey, Dipankar Ghosh

For finitely generated modules $M$ and $N$ over a commutative Noetherian local ring $R$ , we give various sufficient criteria for detecting freeness of $M$ or $N$ via vanishing of…

math.AC2018

Gorensteinness of short local rings in terms of the vanishing of Ext and Tor

Dipankar Ghosh

Let $(R, m)$ be a commutative Noetherian local ring which contains a regular sequence $x = x_{1}, \dots, x_{d} \in m ∖ m^{2}$ su…

math.AC2017★ 2 cited

Asymptotic Prime Divisors Related to Ext, Regularity of Powers of Ideals, and Syzygy Modules

Dipankar Ghosh

This dissertation focuses on the following topics: (1) asymptotic prime divisors over complete intersection rings, (2) asymptotic stability of complexities over complete intersecti…