2 citations · 4 across the 4 of their papers we have counts for
4 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…
Valuations on approaching a fixed irreducible polynomial
Josnei Novacoski, Matheus dos S. Barnabe
For a fixed irreducible polynomial we study the set of all valuations on bounded by valuations whose support is . The first main result presents a ch…
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)…
Valuations centered at a two-dimensional regular local ring: Infima and Topologies
Josnei Novacoski
The aim of this paper is to prove that every non-empty set of valuations centered at a two-dimensional regular domain has an infimum. We also generalize some results related to a n…