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ALL NON-ARCHIMEDEAN NORMS ON K[X1, . . ., Xr]
GHIOCEL GROZA, NICOLAE POPESCU, ALEXANDRU ZAHARESCU
Journal:

Glasgow Mathematical Journal / Volume 52 / Issue 1 / January 2010

Published online by Cambridge University Press:

30 July 2009, pp. 1-18

Print publication:

January 2010
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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 | |.