27 citations · 40 across the 5 of their papers we have counts for
5 papers
Graded rings associated to valuations and direct limits
Caio Henrique Silva de Souza, Josnei Antonio Novacoski, Mark Spivakovsky
In this paper, we study the structure of the graded ring associated to a limit key polynomial in terms of the key polynomials that define . In order to do that, we use d…
On the structure of the graded algebra associated to a valuation
M. S. Barnabé, J. Novacoski, M. Spivakovsky
The main goal of this paper is to study the structure of the graded algebra associated to a valuation. More specifically, we prove that the associated graded algebra ${\rm gr}_v(R)…
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…
Extending valuations to formal completions
F. J. Herrera Govantes, M. A. Olalla Acosta, M. Spivakovsky +1
This paper is an extended version of the talk given by Miguel Olalla at the International Conference on Valuation Theory in El Escorial in July 2011. Its purpose is to provide an i…
Extending a valuation centered in a local domain to the formal completion
F. J. Herrera Govantes, M. A. Olalla Acosta, M. Spivakovsky +1
Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, dominating R (not necessarily birationally). Let v|K be the restriction of v to K; by…