Samarendra Sahoo

activity

20232026

collaborators

7 papers

math.AC2026

Bounds on Hilbert coefficients of Cohen-Macaulay modules having finite projective dimension

Samarendra Sahoo

Let $(A, m)$ be a Gorenstein local ring with $G (A)$ Cohen-Macaulay, and let $M$ be a Cohen-Macaulay $A$ -module of finite projective dimension. In \cite{Quasipure}, the au…

math.AC2026

Integrally closed ideals with $e_{2} (I) = e_{1} (I) - e_{0} (I) + λ (A / I)$

Shruti Priya, Samarendra Sahoo

Let $(A, m)$ be a Cohen-Macaulay local ring of dimension $d .$ We introduce and study the notion of the generalized type of $A$ with respect to an $m$ -primary i…

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 $ω_{A}$ is a canonical $A$ -module. Set $$r(I,ω_A) = \bigcup_{n \geq 0} (I^{n+…

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

$(A, m)$ 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 and $M_i=\tex…

math.AC2024

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.AC2023

Quasi-pure resolutions and some lower bounds of Hilbert coefficients of Cohen-Macaulay modules

Tony J. Puthenpurakal, Samarendra Sahoo

Let $(A, m)$ be a Gorenstein local ring and let $M$ be a finitely generated Cohen Macaulay $A$ module. Let $G (A) = ⨁_{n \geq 0} m^{n} / m^{n + 1}$ be…

Bounds on Hilbert coefficients of Cohen-Macaulay modules having finite projective dimension

Integrally closed ideals with e2​(I)=e1​(I)−e0​(I)+λ(A/I)

Quasi-Hilbert rings and Ratliff-Rush filtrations

Coherent functors, powers of ideals, and asymptotic stability

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

On unmixed and equi-dimensional associated graded rings

Quasi-pure resolutions and some lower bounds of Hilbert coefficients of Cohen-Macaulay modules

Integrally closed ideals with $e_{2} (I) = e_{1} (I) - e_{0} (I) + λ (A / I)$