JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 1, Pages 135 - 145
(April 2004)
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THE
HASSE NORM PRINCIPLE FOR 2-DIMENSIONAL REGULAR
LOCAL RINGS
Yoshihiro Koya (Japan)
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Abstract: Let
K be
the quotient field of a 2-dimensional complete
regular local ring with a finite residue field,
and L be
a finite Galois extension field of K
in which the integral closure of the ring of
integers of K is again regular. This paper gives examples of a non-cyclic
extension L/K, for which the Hasse
norm principle for K2 holds. |
Keywords and phrases: Hasse principle, regular local ring. |
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