ALL NON-ARCHIMEDEAN NORMS ON K[X1, . . ., Xr]
Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 1-18
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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 | |.
GROZA, GHIOCEL; POPESCU, NICOLAE; ZAHARESCU, ALEXANDRU. ALL NON-ARCHIMEDEAN NORMS ON K[X1, . . ., Xr]. Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 1-18. doi: 10.1017/S0017089509990115
@article{10_1017_S0017089509990115,
author = {GROZA, GHIOCEL and POPESCU, NICOLAE and ZAHARESCU, ALEXANDRU},
title = {ALL {NON-ARCHIMEDEAN} {NORMS} {ON} {K[X1,} . . ., {Xr]}},
journal = {Glasgow mathematical journal},
pages = {1--18},
year = {2010},
volume = {52},
number = {1},
doi = {10.1017/S0017089509990115},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990115/}
}
TY - JOUR AU - GROZA, GHIOCEL AU - POPESCU, NICOLAE AU - ZAHARESCU, ALEXANDRU TI - ALL NON-ARCHIMEDEAN NORMS ON K[X1, . . ., Xr] JO - Glasgow mathematical journal PY - 2010 SP - 1 EP - 18 VL - 52 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990115/ DO - 10.1017/S0017089509990115 ID - 10_1017_S0017089509990115 ER -
%0 Journal Article %A GROZA, GHIOCEL %A POPESCU, NICOLAE %A ZAHARESCU, ALEXANDRU %T ALL NON-ARCHIMEDEAN NORMS ON K[X1, . . ., Xr] %J Glasgow mathematical journal %D 2010 %P 1-18 %V 52 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990115/ %R 10.1017/S0017089509990115 %F 10_1017_S0017089509990115
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