Siddhartha Pramanik

collaborators

3 papers

math.AC2026

Asymptotic prime divisors and Vasconcelos invariant

Dipankar Ghosh, Ramakrishna Nanduri, Siddhartha Pramanik

Let $R$ be a Noetherian ring, $I$ an ideal of $R$ , and $M$ a finitely generated $R$ -module. In this article, we prove that $$\mathrm{Ass}_R(M/I^{n} M) = \mathrm{Ass}_R(0:_{M} I) \c…

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.AC2025

Asymptotic v-numbers of graded (co)homology modules involving powers of an ideal

Dipankar Ghosh, Siddhartha Pramanik

Let $R$ be a Noetherian $N$ -graded ring. Let $L$ , $M$ and $N$ be finitely generated graded $R$ -modules with $N \subseteq M$ . For a homogeneous ideal $I$ , and for each fixe…