雅各布猜想的特征 p 方法

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2024-09-07 DOI:10.1016/j.jpaa.2024.107797

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引用次数: 0

摘要

我们提出了特征中雅各布猜想的几个版本，每个版本如果成立，都意味着特征 0 中的雅各布猜想。我们用特征中的几组雅各布对检验了猜想的这些特征版本。基于这些结果，我们提出了解决特征 0 中雅各布猜想的特征方法。

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Characteristic p approaches to the Jacobian conjecture

We present several versions of the Jacobian Conjecture in characteristic

p > 0

each of which if true would imply the Jacobian Conjecture in characteristic 0. We test these characteristic p versions of the conjecture against several families of Jacobian pairs in characteristic p. Based on the results we propose a characteristic p approach to solving the Jacobian Conjecture in characteristic 0.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.