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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 in terms of the key polynomials that define . In order to do that, we use d…
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)…