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On the cancellation problem of Zariski

Published online by Cambridge University Press:  17 April 2009

Dongho Byeon  and
Hyun Kwang Kim
Dongho Byeon
Affiliation:
Department of MathematicsPohang University of Science and TechnologyPohangKorea e-mail: faust@posmath.postech.ac.kr
Hyun Kwang Kim
Affiliation:
Department of MathematicsPohang University of Science and TechnologyPohangKorea e-mail: faust@posmath.postech.ac.kr
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Abstract

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Let K1 and K2 be extension fields over a field K with char K = p > 0. Assume L = K1(x1) = K2(x2) ⊃ K where xi is transcendental over Ki, for i = 1, 2. In this paper we prove that if K1 is a perfect field, then K1 = K2.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 3 , June 1996 , pp. 499 - 500
Copyright
Copyright © Australian Mathematical Society 1996

References

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