Kumari Saloni

activity

20162025

collaborators

10 papers

math.AC2025

Special fibers of coordinate sections of Hankel Matrices

Katie Ansaldi, Dayane Lira, Maral Mostafazadehfard +2

We investigate the special fibers associated with certain coordinate sections of Hankel determinantal ideals. We provide explicit descriptions of their defining equations, showing…

math.AC2025

Buchsbaumness, Macaulayfication and Castelnuovo-Mumford regularity of monomial curves

Biplab Dawn, Kumari Saloni

Projective monomial curves are associated with rings generated by monomials of equal degree in two variables. In this paper, we give an infinite class of non-smooth, non Cohen-Maca…

math.AC2024

Bounding reduction number and the Hilbert coefficients of filtration

Kumari Saloni, Anoot Kumar Yadav

Let $(A,\m)$ be a Cohen-Macaulay local ring of dimension $d \geq 3$ , $I$ an $\m$-primary ideal and $I = {I_{n}}_{n \geq 0}$ an $I$ -admissible filtration. We establish bounds…

math.AC2023

Ratliff-Rush filtration, Hilbert coefficients and the reduction number of integrally closed ideals

Kumari Saloni, Anoot Kumar Yadav

Let $(R, m)$ be a Cohen-Macaulay local ring of dimension $d \geq 3$ and $I$ an integrally closed $m$ -primary ideal. We establish bounds for the third Hilbert co…

math.AC2022

Bounds for the reduction number of primary ideal in dimension three

Mousumi Mandal, Kumari Saloni

Let $(R, m)$ be a Cohen-Macaulay local ring of dimension $d \geq 3$ and $I$ an $m$ -primary ideal of $R$ . Let $r_{J} (I)$ be the reduction number of $I$ with respec…

math.AC2021

Multiplicity Versus Buchsbaumness of the special fiber cone

Anoot Kumar Yadav, Kumari Saloni

Let $(A, m)$ be a Noetherian local ring of dimension $d > 0$ with infinite residue field and $I$ an $m$ -primary ideal. Let $I$ be an $I$ -good filtration.…

math.AC2020

Buchsbaumness of the associated graded rings of filtration

Kumari Saloni

Let $(A, m)$ be a Noetherian local ring of dimension $d > 0$ and $I$ an $I$ -primary ideal of $A$ . In this paper, we discuss a sufficient condition, for the Buchsb…

math.AC2017

On the finiteness of the set of Hilbert coefficients

Shreedevi K. Masuti, Kumari Saloni

Let $(R, m)$ be a Noetherian local ring of dimension $d$ and $K, Q$ be $m$ -primary ideals in $R .$ In this paper we study the finiteness properties of the sets $Λ_i^K(R):=\{g_i^K(Q):…

math.AC2016

Bounding Hilbert coefficients of parameter ideals

Anupam Saikia, Kumari Saloni

Let $(R, m)$ be a Noetherian local ring of dimension $d > 0$ and depth R $\geq d - 1$ . Let $Q$ be a parameter ideal of $R$ . In this paper, we derive uniform lower and upper bo…

math.AC2016

On Hilbert coefficients of parameter ideals and Cohen-Macaulayness

Kumari Saloni

Let $(R, m)$ be an unmixed Noetherian local ring, Q a parameter ideal and $K$ an $m$ -primary ideal of $R$ containing $Q$ . We give a necessary and sufficient con…