Samarendra Sahoo

activity

20242026

collaborators

4 papers

math.AC2026

On unmixed and equi-dimensional associated graded rings

Tony J. Puthenpurakal, Samarendra Sahoo

Let $(A, m)$ be an analytically un-ramified Noetherian local ring of dimension $d \geq 1$ , $I$ a regular $m$ -primary ideal of $A$ and let $I$ be int…

math.AC2025

Quasi-Hilbert rings and Ratliff-Rush filtrations

Tony J. Puthenpurakal, Samarendra Sahoo

Let $A$ be a non Gorenstein Cohen Macaulay ring of dimension $d \geq 1$ , $I$ an ideal of $A$ , and suppose $I ¨ _{A}$ is a canonical $A$ -module. Set $$r(I,Ï_A) = \bigcup_{n \geq 0} (I^{…

math.AC2025

Coherent functors, powers of ideals, and asymptotic stability

Souvik Dey, Dipankar Ghosh, Siddhartha Pramanik +2

Let $R$ be a Noetherian ring, $I_{1}, \dots, I_{r}$ be ideals of $R$ , and $N \subseteq M$ be finitely generated $R$ -modules. Let $S = \bigoplus_{\underline{n} \in \mathbb{N}^r} S_{\under…

math.AC2024

Asymptotic behavior of invariants of syzygies of maximal Cohen-Macaulay modules

Tony J. Puthenpurakal, Samarendra Sahoo

Let $(A, m)$ be a complete intersection ring of codimension $c \geq 2$ and dimension $d \geq 1$ . Let $M$ be a finitely generated maximal Cohen-Macaulay $A$ -module. Set $M_i…