11 citations · 14 across the 5 of their papers we have counts for
7 papers
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…
Finite Generation in Polynomial Semirings
Mohammad El Asal, Wael Mahboub
We study the semiring as an additive monoid where is a positive real algebraic number. In the atomic case, the atoms of are precisely the po…
On common extensions of valued fields
Wael Mahboub, Mark Spivakovsky, Amira Mansour
Given a valuation on a field , an extension to an algebraic closure and an extension to . We want to study the common extensions of and to…
Key Polynomials in dimension 2
Wael Mahboub, Mark Spivakovsky
Let be a two-dimensional regular local ring. In this paper, we prove that there is a bijection between the set of all valuations of centered at and valuations of…
Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane -- Vaquie
Julie Decaup, Mark Spivakovsky, Wael Mahboub
Let be a simple purely transcendental extension of valued fields. In order to study such an extension, M. Vaquié, generalizing an earlier construct…
Key polynomials for simple extensions of valued fields
F. J. Herrera Govantes, W. Mahboub, M. A. Olalla Acosta +1
Let be a simple transcendental extension of valued fields, where is equipped with a valuation of rank 1. That is, we assume given a rank 1…
Key Polynomials
Wael Mahboub
The notion of key polynomials was first introduced in 1936 by S. Maclane in the case of discrete rank 1 valuations. . Let K -> L be a field extension and ν a valuation of K. The or…