Saipriya Dubey

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math.AC2025

On the core and adjoint of the product of complete ideals in two-dimensional regular local rings

Clare D'Cruz, Saipriya Dubey, Jugal K. Verma

Using joint reductions of complete ideals, we find expressions for the core and adjoints of the product of complete ideals in a two-dimensional regular local ring. We also compute…

math.AC2025

Symmetric decomposition of the Hilbert function of an ideal

Meghana Bhat, Saipriya Dubey, Shreedevi K. Masuti

Let $(R, M)$ be a local ring over a field $k$ with $k = R / M$ and $J$ an ideal in $R$ such that $A = R / J$ is an Artinian Gorenstein (AG) $k$ -algebra. In 1989, A. I…

math.AC2024

Computing epsilon multiplicities in graded algebras

Suprajo Das, Saipriya Dubey, Sudeshna Roy +1

This article investigates the computational aspects of the $ε$ -multiplicity. Primarily, we show that the $ε$ -multiplicity of a homogeneous ideal $I$ in a two-di…