素环李理想上带有导子幂值的左零化子

doi:10.13371/j.cnki.chin.q.j.m.2020.02.005

数学季刊 ›› 2020, Vol. 35 ›› Issue (2): 179-185.doi: 10.13371/j.cnki.chin.q.j.m.2020.02.005

素环李理想上带有导子幂值的左零化子

收稿日期:2019-12-20 出版日期:2020-06-30 发布日期:2020-09-03
作者简介:HUANG Shu-liang(1981-), male, native of Weifang, Shandong, a professor of Chuzhou University, engages in rings and algebras.

Left Annihilator of Power Values with Derivations on Lie Ideals in Prime Rings

School of Mathematics and Finance, Chuzhou University, Chuzhou 239000, China

Received:2019-12-20 Online:2020-06-30 Published:2020-09-03
About author:HUANG Shu-liang(1981-), male, native of Weifang, Shandong, a professor of Chuzhou University, engages in rings and algebras.
Supported by:
Supported by Anhui Natural Science Foundation(1808085MA14;1908085MA03) and the Key University Science Research Project of Anhui Province(KJ2018A0433)

摘要/Abstract

Abstract:

Let R be a prime ring with characteristic di®erent from two, d a derivation of R, L a noncentral Lie ideal of R, and a \in R. In the present paper it is showed that if

a(d(u^m)\pm u^m)^n=0

for all u \in L, where m; n are fixed positive integers, then a = 0 unless R satisfies s4, the standard polynomial identity in four variables.

Key words: Derivation, Extended centroid, Lie ideal, Prime ring

中图分类号:

O153.3

黄述亮. 素环李理想上带有导子幂值的左零化子[J]. 数学季刊, 2020, 35(2): 179-185.

HUANG Shu-liang. Left Annihilator of Power Values with Derivations on Lie Ideals in Prime Rings[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(2): 179-185.

[1]	黄述亮. 带有对合的素环的微分恒等式[J]. 数学季刊, 2023, 38(2): 134-144.
[2]	何东林, 李煜彦. 相对投射与内射维数的若干注记[J]. 数学季刊, 2020, 35(2): 171-178.
[3]	何东林, 李煜彦. n-倾斜挠类与n-余倾斜挠自由类[J]. 数学季刊, 2019, 34(2): 196-203.
[4]	黄朝凌. 替换环什么时候是冯诺依曼正则环[J]. 数学季刊, 2019, 34(1): 21-28.
[5]	李启宁. 关于二重Ore扩张的一点注释[J]. 数学季刊, 2019, 34(1): 99-110.
[6]	张光辉, 王冬晴. 环F_p+vF_p上自对偶码的构造[J]. 数学季刊, 2018, 33(4): 358-368.
[7]	彭宅铭 , 谷勤勤 , 张蕊蕊 . 幺半群上的强α-自反环[J]. 数学季刊, 2018, 33(3): 260-271.
[8]	赵良. 相对于半对偶化模的强Ding-投射模[J]. 数学季刊, 2018, 33(1): 79-92.
[9]	任伟, 张瑜. 具有有限整体Gorenstein维数的环[J]. 数学季刊, 2017, 32(3): 255-260.
[10]	崔俊峰. 关于Gorenstein复型的维数分解[J]. 数学季刊, 2017, 32(2): 216-220.
[11]	史美华 , 贾玲. 弱辫子T-范畴[J]. 数学季刊, 2016, 31(3): 248-259.
[12]	刘春辉. BCK代数的广义（∈,∈∨q）-模糊理想[J]. 数学季刊, 2015, 30(3): 373-380.
[13]	程永胜, 刘国敬. 对偶的Hom-型拟Hopf代数的Monoidal范畴解释[J]. 数学季刊, 2015, 30(2): 218-226.
[14]	贾玲, 陈笑缘. 弱Hopf群余代数的Maschke型定理[J]. 数学季刊, 2015, 30(1): 144-152.
[15]	班秀和, 梁世健, 尹闯. 关于强正则环[J]. 数学季刊, 2014, 29(4): 505-508.

素环李理想上带有导子幂值的左零化子

Left Annihilator of Power Values with Derivations on Lie Ideals in Prime Rings

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价