Josnei Novacoski

activity

20202022

most citedOn the structure of the graded algebra associated to a valuation

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2022★ 1 cited

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 $Q_{n}$ in terms of the key polynomials that define $Q_{n}$ . In order to do that, we use d…

math.AC2021

Valuations on $K [x]$ approaching a fixed irreducible polynomial

Josnei Novacoski, Matheus dos S. Barnabe

For a fixed irreducible polynomial $F$ we study the set $V_{F}$ of all valuations on $K [x]$ bounded by valuations whose support is $(F)$ . The first main result presents a ch…

math.AC2020★ 1 cited

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)…

Graded rings associated to valuations and direct limits

Valuations on K[x] approaching a fixed irreducible polynomial

On the structure of the graded algebra associated to a valuation

Valuations on $K [x]$ approaching a fixed irreducible polynomial