All non-archimedean norms on K[X1,..., Xr]

Ghiocel Groza; Nicolae Popescu; Alexandru Zaharescu

doi:10.1017/S0017089509990115

All non-archimedean norms on K[X₁,..., X_r]

Ghiocel Groza, Nicolae Popescu, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

If K is a field with a non-trivial non-Archimedean absolute value (multiplicative norm) | |, we describe all non-Archimedean K-algebra norms on the polynomial algebra K[X1,... , Xr] which extend | |.

Original language	English (US)
Pages (from-to)	1-18
Number of pages	18
Journal	Glasgow Mathematical Journal
Volume	52
Issue number	1
DOIs	https://doi.org/10.1017/S0017089509990115
State	Published - Jan 2010

ASJC Scopus subject areas

Mathematics(all)

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title = "All non-archimedean norms on K[X1,..., Xr]",

abstract = "If K is a field with a non-trivial non-Archimedean absolute value (multiplicative norm) | |, we describe all non-Archimedean K-algebra norms on the polynomial algebra K[X1,... , Xr] which extend | |.",

author = "Ghiocel Groza and Nicolae Popescu and Alexandru Zaharescu",

year = "2010",

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