S. Priya

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20222026

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4 papers · 1 filter

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.AC2026

Bounds on the second Hilbert coefficient and the depth of the associated graded ring

Clare D'Cruz, Mousumi Mandal, Shruti Priya

Let $(R, m)$ be a Noetherian local ring of dimension $d \geq 1$ with $depth R \geq d - 1,$ and let $I$ be an $m$ -primary ideal. In this paper, we study b…

math.AC2024

Bounds on the Ratliff-Rush Index and the Castelnuovo-Mumford Regularity

Mousumi Mandal, Shruti Priya

Let $(R, m)$ be a Cohen-Macaulay local ring of dimension $d \geq 2,$ and $I$ an $m$ -primary ideal of $R .$ Denote $r_{J} (I)$ as the reduction number of $I$ with…

math.AC2023

A note on Ratliff-Rush filtration, reduction number and postulation number of $m$ -primary ideals

Mousumi Mandal, Shruti Priya

Let $(R, m)$ be a Cohen-Macaulay local ring of dimension $d \geq 2$ and $I$ an $m$ -primary ideal. Let rd $(I)$ be the reduction number of $I$ and n $(I)$ the postul…

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

Bounds on the second Hilbert coefficient and the depth of the associated graded ring

Bounds on the Ratliff-Rush Index and the Castelnuovo-Mumford Regularity

A note on Ratliff-Rush filtration, reduction number and postulation number of m-primary ideals

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

A note on Ratliff-Rush filtration, reduction number and postulation number of $m$ -primary ideals