Siddhartha Pramanik

activity

20242026

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math.AC2026

Asymptotic Castelnuovo-Mumford regularity of (co)homology modules involving powers of ideals

Dipankar Ghosh, Ramakrishna Nanduri, Siddhartha Pramanik

Let $R$ be a Noetherian standard $N$ -graded ring, and let $I_{1}, \dots, I_{r}$ be homogeneous ideals of $R$ . Let $L, M$ , and $N$ be finitely generated $Z$ -graded $R$ -m…

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…