Inverse limits of automorphisms of truncated polynomials and applications related to Jacobian conjecture

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成果类型：

期刊论文

作者：

Chang, Hao;Shu, Bin;Yao, Yu-Feng

通讯作者：

Shu, B

作者机构：

[Chang, Hao] Cent China Normal Univ, Sch Math & Stat, 152 Luoyu Rd, Wuhan 430079, Peoples R China.

[Chang, Hao] Cent China Normal Univ, Hubei Key Lab Math Sci, 152 Luoyu Rd, Wuhan, Peoples R China.

[Shu, Bin] East China Normal Univ, Sch Math Sci, Key Lab Math & Engn Applicat, Minist Educ, 500 Dongchuan Rd, Shanghai 200241, Peoples R China.

[Shu, Bin] East China Normal Univ, Shanghai Key Lab PMMP, 500 Dongchuan Rd, Shanghai 200241, Peoples R China.

[Yao, Yu-Feng] Shanghai Maritime Univ, Dept Math, 1550 Haigang Ave, Shanghai 201306, Peoples R China.

通讯机构：

[Shu, B ] E

East China Normal Univ, Sch Math Sci, Key Lab Math & Engn Applicat, Minist Educ, 500 Dongchuan Rd, Shanghai 200241, Peoples R China.

East China Normal Univ, Shanghai Key Lab PMMP, 500 Dongchuan Rd, Shanghai 200241, Peoples R China.

语种：

英文

关键词：

Jacobian matrix;Jacobian condition;Jacobian conjecture

期刊：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS

ISSN：

0219-4988

年：

2024

DOI：

10.1142/S0219498825501750

基金类别：

National Natural Science Foundation of China by Science and Technology Commission of Shanghai Municipality [12071136, 12271345, 22DZ2229014]

机构署名：

本校为第一机构

院系归属：

数学与统计学学院

摘要：

In this note, we investigate Jacobian conjecture through investigation of automorphisms of polynomial rings in characteristic p. Making use of the technique of inverse limits, we show that under Jacobian condition for a given homomorphism phi of the polynomial ring k[x(1),& sdot;& sdot;& sdot;, x(n)], if phi preserves the maxi...

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Inverse limits of automorphisms of truncated polynomials and applications related to Jacobian conjecture

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