ALL NON-ARCHIMEDEAN NORMS ON <i>K</i>[<i>X</i><sub>1</sub>, . . ., <i>X<sub>r</sub></i>]

Type: Article

Publication Date: 2009-07-30

Citations: 1

DOI: https://doi.org/10.1017/s0017089509990115

Abstract

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 [ X 1 , . . . , X r ] which extend | |.

Locations

  • Glasgow Mathematical Journal - View - PDF

Works That Cite This (1)

Action Title Year Authors
+ Symmetry of Non-Archimedean Absolute Values 2017 Cătălina Vișan