8 papers
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…
Strongly robustness of toric ideals of weighted oriented graphs
Ramakrishna Nanduri, Tapas Kumar Roy
In this article, we investigate the strongly robust property of toric ideals associated with weighted oriented graphs. We establish that the toric ideals of a broad class of monomi…
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…
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…
Regularity of symbolic and ordinary powers of weighted oriented graphs and their upper bounds
Manohar Kumar, Ramakrishna Nanduri
In this paper, we compare the regularities of symbolic and ordinary powers of edge ideals of weighted oriented graphs. For any weighted oriented complete graph , we show that…