Translator Disclaimer
VOL. 46 | 2007 Algèbre graduée associée à une valuation de $K[x]$

Abstract

We extend some results on augmented valuations and key-polynomials to limit augmented valuations and limit key-polynomials. As any valuation $\mu$ of $K[x]$ is obtained as a limit of an admissible family of valuations, we deduce a description of the graded algebra associated to $\mu$.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

zbMATH: 1127.12009
MathSciNet: MR2342895

Digital Object Identifier: 10.2969/aspm/04610259

Subjects:
Primary: 12J20, 13A18, 14B05, 14E15, 14J17

Rights: Copyright © 2007 Mathematical Society of Japan

PROCEEDINGS ARTICLE
13 PAGES


SHARE
Back to Top