| 三变量中的一类坐标多项式 |
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| 引用本文： | 龚胜军,李尚志. 三变量中的一类坐标多项式[J]. 数学季刊, 2006, 21(4): 482-487 |
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| 作者姓名： | 龚胜军 李尚志 |
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| 作者单位： | Department of Mathematics University of Science and Technology of China，Department of Mathematics，University of Science and Technology of China，Hefei 230026，China，Hefei 230026，China |
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| 基金项目： | Supported by the NNSF of China(10071078) |
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| 摘 要： | In this paper,we introduce a polynomial sequence in K[x],in which two neigh- bor polynomials satisfy a wonderful property.Using that,we give partial answer of an open problem:ifφ(x,y,z)=(f(x,y),g(x,y,z),z),which sends every linear coordinate to a coor- dinate,thenφis an automorphism of K[x,y,z].As a byproduct,we give an easy proof of the welt-known Jung's Theorem.
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| 关 键 词： | 坐标多项式 三变量 多项式序列 数学分析 |
Some Coordinate Polynomials in Three Variables |
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| GONG Sheng-jun,LI Shang-zhi. Some Coordinate Polynomials in Three Variables[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 482-487 |
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| Authors: | GONG Sheng-jun LI Shang-zhi |
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| Affiliation: | Department of Mathematics, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | |
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| Keywords: | coordinate polynomials Jacobian Conjecture polynomial automorphism tame automorphism algebraically closed field |
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