韦尔代数的小度弱多项式等式

Q3 Mathematics

Communications in Mathematics Pub Date : 2024-02-22 DOI:10.46298/cm.13107

Artem Lopatin, Carlos Arturo Rodriguez Palma, Liming Tang

引用次数: 0

摘要

本文研究了任意特征的无穷域上的韦尔代数$mathsf{A}_1$的弱多项式等式。也就是说，我们描述了最小度（即 3 度）以及 4 度和 5 度的弱多项式等价性。我们还描述了两个变量的弱多项式同余。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Weak polynomial identities of small degree for the Weyl algebra

In this paper we investigate weak polynomial identities for the Weyl algebra $\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, we describe weak polynomial identities of the minimal degree, which is three, and of degrees 4 and 5. We also describe weak polynomial identities is two variables.

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.