3 papers
math.AC2026
Complexity, curvature and homological dimension of modules under linkage
Subhadip Bhowmick, Dipankar Ghosh
In this article, we analyze how (projective and injective) complexity, curvature, and complete intersection dimension behave under linkage of modules and ideals. Let be a Goren…
math.AC2026
Asymptotic prime divisors and Vasconcelos invariant
Dipankar Ghosh, Ramakrishna Nanduri, Siddhartha Pramanik
Let be a Noetherian ring, an ideal of , and a finitely generated -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 be a Noetherian ring, be ideals of , and be finitely generated -modules. Let $S = \bigoplus_{\underline{n} \in \mathbb{N}^r} S_{\under…