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ALL NON-ARCHIMEDEAN NORMS ON K[X1, . . ., Xr]

Published online by Cambridge University Press:  30 July 2009

GHIOCEL GROZA ,
NICOLAE POPESCU  and
ALEXANDRU ZAHARESCU
GHIOCEL GROZA
Affiliation:
Department of Mathematics, Technical University of Civil Engineering, Lacul Tei 124, Sec.2, RO-020396 Bucharest, Romania e-mail: grozag@mail.utcb.ro
NICOLAE POPESCU
Affiliation:
Romanian Academy, Institute of Mathematics, P.O. Box 1-764, RO-70700Bucharest, Romania e-mail: Nicolae.Popescu@imar.ro
ALEXANDRU ZAHARESCU
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA e-mail: zaharesc@math.uiuc.edu
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Abstract

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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 | |.

Keywords

11S7511C08
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 1 , January 2010 , pp. 1 - 18
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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