Prativa Biswas

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math.AC2026

A comparison of the v-number of a monomial ideal and its integral closure

Prativa Biswas, Mousumi Mandal, Partha Phukan

Let $I$ be a monomial ideal in a standard graded polynomial ring and let $I$ denote its integral closure. We study the relationship between $v (I)$ and $\mathrm{…

math.AC2026

Lattice points arising from regularity and $v$ -number of Graphs: Whisker and Cameron-Walker

Prativa Biswas, Mousumi Mandal, Kamalesh Saha

Let $G$ be a simple graph on $n$ vertices and $I (G) \subseteq R$ be its edge ideal. In this paper, we initiate the study of determining lattice points in $N^{2}$ that appear…

math.AC2024

Asymptotic behaviour and stability index of v-numbers of graded ideals

Prativa Biswas, Mousumi Mandal, Kamalesh Saha

Recently, Ficarra and Sgroi initiated the study of v-numbers of powers of graded ideals. They proved that for a graded ideal $I$ in a polynomial ring $S$ , $v (I^{k})$ is a li…

A comparison of the v-number of a monomial ideal and its integral closure

Lattice points arising from regularity and v-number of Graphs: Whisker and Cameron-Walker

Asymptotic behaviour and stability index of v-numbers of graded ideals

Lattice points arising from regularity and $v$ -number of Graphs: Whisker and Cameron-Walker