Author

Sumandeep Kaur

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Preprint Sep 2026

A Local Approach to Monogenity with an Application to Lenny Jones'Conjecture

The study of monogenic polynomials is a classical problem in algebraic number theory. Existing criteria for deciding whether a polynomial is monogenic typically rely on discriminant computations together with methods such as Dedekind's criterion, Newton polygons, or valuation-theoretic techniques. In this paper, we dev...

Michail Karatarakis, Sumandeep Kaur · 0 citations

Preprint Sep 2026

Irreducible $\mathbb Z_+$-modules over $\mathbb Z[\sqrt[m]{d_1},\sqrt[m]{d_2},\ldots, \sqrt[m]{d_r}]$

Let $d_1,d_2,\ldots, d_r\ge 2$ be $m$-th power free positive integers. In this paper, we provide explicit representations of all irreducible $\mathbb{Z}_+$-modules over $\mathbb{Z}[\sqrt[m]{d_1},\sqrt[m]{d_2},\ldots,\sqrt[m]{d_r}]$, where $\mathbb{Z}_+$ denotes the semiring of non-negative integers.

Surender Kumar, Sumandeep Kaur · 0 citations