key polynomials 2henselization 1limit key polynomials 1MacLane theory 1order type 1rational function fields 1regular complete sequences 1transcendental extensions 1valuation extensions 1valued fields 1
From the 2 of 3 linked papers with an AI index.
20 citations · 20 across the 3 of their papers we have counts for
3 papers
math.AG2026★ 20 cited
Key polynomials for simple extensions of valued fields
F. J. Herrera Govantes, W. Mahboub, M. A. Olalla Acosta +1
The paper refines MacLane’s theory of key polynomials for simple transcendental extensions of rank‑1 valued fields, explicitly describing limit key polynomials and giving upper bou…
math.AC2026
Common extensions of valuations to rational function fields
Arpan Dutta, Wael Mahboub
The paper characterizes which K‑conjugates of a minimal pair define monomial valuations that extend a given valuation on a rational function field, and introduces regular limit key…
math.AC2026
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…