1 citations · 2 across the 16 of their papers we have counts for
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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…
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}…
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…
Componentwise linearity of powers of edge ideals of weighted oriented graphs
Manohar Kumar, Joydip Mondal, Ramakrishna Nanduri
In this paper, we study the componentwise linearity of powers of edge ideal of a weighted oriented graph . We give a characterization for componentwise linearity of the edge ide…
On robust toric ideals of weighted oriented graphs
Ramakrishna Nanduri, Tapas Kumar Roy
In this work, we study the equivalence of various robustness properties of toric ideals of weighted oriented graphs. For any weighted oriented graph , if its toric ideal i…
The slope of v-function and Waldschmidt constant
Manohar Kumar, Ramakrishna Nanduri, Kamalesh Saha
In this paper, we study the asymptotic behaviour of the v-number of a Noetherian graded filtration of a Noetherian -graded domain $…