素环中列理想上广义偏斜导数幂值的湮没器

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-11-07 DOI:10.1007/s11565-024-00542-4

C. Garg, B. Dhara

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引用次数: 0

摘要

让 R 是一个特征值不同于 2 的素环，（n\ge 1\ ）是一个固定整数，C 是 R 的扩展中心点，F 是 R 的广义倾斜派生，L 是 R 的一个列理想。如果存在 \(0 ne a \in R\) such that \(a(F(xy)-yx)^{n}=0\) for all \(x,y\in L\), 那么 L 是中心的，除非 R 满足标准多项式特性 \(s_4(x_1,\ldots,x_4)\)。

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Annihilators of power values of generalized skew derivations on Lie ideals in prime rings

Let R be a prime ring of characteristic different from 2, \(n\ge 1\) a fixed integer, C the extended centroid of R, F a generalized skew derivation of R and L a Lie ideal of R. If there exists \(0 \ne a \in R\) such that \(a(F(xy)-yx)^{n}=0\) for all \(x,y\in L\), then L is central, unless R satisfies the standard polynomial identity \(s_4(x_1, \ldots , x_4)\).

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.