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- W2135434029 abstract "The above theorem appeared in the fifties with an incorrect proof in Segre’s paper [12] which discusses a subject of the Jacobian conjecture. The first time it was proved in 1975 by Abhyankar and Moh [3] (see also [1]). The history of this theorem and its applications are presented in the papers [3] and [4]. There appeared also other proofs in the years 1977 – 1982. They were publicated by Miyanishi [7] (see also [8]), Ganong [5] and Rudolph [11]. Abhyankar and Moh proved this theorem basing on the theory of approximate roots of polynomials which was developed by them. In 1986 Richman [10] presented a new interesting proof which does not use approximate roots. There is however a certain gap in his proof, noticed and corrected, in 1991, by Kang [6] (see also [9]). The purpose of this article is a presentation of the full proof of Theorem 0.1 according to Richman." @default.
- W2135434029 created "2016-06-24" @default.
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- W2135434029 date "1997-01-01" @default.
- W2135434029 modified "2023-09-27" @default.
- W2135434029 title "The Abhyankar - Moh theorem" @default.
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