Suprajo Das

collaborators

3 papers

math.AC2026

Numerical characterizations for integral dependence of graded modules

Suprajo Das, Sudeshna Roy, Vijaylaxmi Trivedi

In this paper we construct {\em adic}, {\em saturated} and $ε$ -density functions for a torsion-free module in a graded setup. Then we give some simple criteria for checki…

math.AC2025

Numerical characterizations for integral dependence of graded ideals

Suprajo Das, Sudeshna Roy, Vijaylaxmi Trivedi

Let $R = \oplus_{m \geq 0} R_{m}$ be a standard graded equidimensional ring over a field $R_{0}$ , and $I \subseteq J$ be two non-nilpotent graded ideals in $R$ . Then we give a set of numeri…

math.AC2025

Density functions for epsilon multiplicity and families of ideals

Suprajo Das, Sudeshna Roy, Vijaylaxmi Trivedi

A density function for an algebraic invariant is a measurable function on $R$ which measures the invariant on an $R$ -scale. This function carries a lot more infor…