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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 be a Noetherian standard -graded ring, and let be homogeneous ideals of . Let , and be finitely generated -graded -m…
math.AC2026
Homological shift ideals of weighted oriented graphs
Manohar Kumar, Joydip Mondal, Ramakrishna Nanduri
In this paper, we study the homological shift ideals of edge ideals associated with weighted oriented graphs. For a weighted oriented graph , let denote the $k^{th}…
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…