[1]王立,陈光海,杜君花,等.素环理想上的导子[J].哈尔滨理工大学学报,2009,(05):105-106.
 WANG Li,CHEN Guang-hai,DU Jun-hua.Ideals in Prime Rings with Derivations[J].哈尔滨理工大学学报,2009,(05):105-106.
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素环理想上的导子()
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《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

卷:
期数:
2009年05期
页码:
105-106
栏目:
数理科学
出版日期:
2009-10-25

文章信息/Info

Title:
Ideals in Prime Rings with Derivations
作者:
王立; 陈光海; 杜君花;
哈尔滨理工大学应用科学学院; 齐齐哈尔大学理学院;
Author(s):
WANG Li1; CHEN Guang-hai1; DU Jun-hua2
1.School of Applied Sciences; Harbin University of Science and Technology; Harbin 150080; China; 2.School of Science; Qiqihar University; Qiqihar 161006; China
关键词:
素环 导子 扭自由
Keywords:
prime ring derivation torsion free
分类号:
O153.3
文献标志码:
A
摘要:
讨论了素环理想上导子的性质.设R是6-扭自由的素环,I是R的非零理想,Z是环R的中心,若存在非零导子d满足对任意x∈I均有d(x3)∈Z,且I∩Z≠{0}或对任意的x∈I均有[x,d(x2)]∈Z,R则环交换.
Abstract:
In this paper,we discuss the property of ideals in prime rings with derivations.Let R is a prime rings with 6-torsion free,I is a nonzero ideal of R and Z is the center of R,if there exists a nonzero derivation d such that d(x3)∈Z and I∩Z≠{0}for all x∈I or [x,d(x2)]∈Z for all x∈I,then R is a commutative ring.

备注/Memo

备注/Memo:
黑龙江省自然科学基金资助项目(A200601)
更新日期/Last Update: 2009-12-16