Limit key polynomials as p-polynomials

M de Moraes, J Novacoski - Journal of Algebra, 2021 - Elsevier
The main goal of this paper is to characterize limit key polynomials for a valuation ν on K [x].
We consider the set Ψ α of key polynomials for ν of degree α. We set p to be the exponent …

On stable and fixed polynomials

J Novacoski, M Spivakovsky - Journal of Pure and Applied Algebra, 2023 - Elsevier
Let ν be a rank one valuation on K [x] and Ψ n the set of key polynomials for ν of degree n∈
N. We discuss the concepts of being Ψ n-stable and (Ψ n, Q)-fixed. We discuss when these …