On the cancellation problem of Zariski

Publisher： Cambridge University Press

E-ISSN： 1755-1633|53|3|499-500

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.53, Iss.3, 1996-06, pp. : 499-500

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Abstract

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.

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