W. Mahboub

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20112026

most citedKey polynomials for simple extensions of valued fields

11 citations · 14 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.AC2026

Common extensions of valuations to rational function fields

Arpan Dutta, Wael Mahboub

Let (K(X)|K,w) be a valuation transcendental extension of rational function fields and take a minimal pair of definition (a, gamma). In this paper, we characterize those K-conjugat…

math.AC2026

Finite Generation in Polynomial Semirings

Mohammad El Asal, Wael Mahboub

We study the semiring $N_{0} [α]$ as an additive monoid where $α$ is a positive real algebraic number. In the atomic case, the atoms of $N_{0} [α]$ are precisely the po…

math.AC2020

On common extensions of valued fields

Wael Mahboub, Mark Spivakovsky, Amira Mansour

Given a valuation $v$ on a field $K$ , an extension $v ˉ$ to an algebraic closure and an extension $w$ to $K (X)$ . We want to study the common extensions of $v ˉ$ and $w$ to…

math.AC2016★ 3 cited

Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane -- Vaquie

Julie Decaup, Mark Spivakovsky, Wael Mahboub

Let $ι : (K, ν) ↪ (K (x), μ)$ be a simple purely transcendental extension of valued fields. In order to study such an extension, M. Vaquié, generalizing an earlier construct…