Kumari Saloni

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20172025

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6 papers · 1 filter

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.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):…