具有Fk性质的环的正则元的若干性质  

Some Properties of the Regular Elements of the Ring with Fk-Property

作　　者：杜君花[1] 杨新松 DU Jun-hua;YANG Xin-song(School of Science,Qiqihar University,Qiqihar 161006,China;School of Science,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006 [2]哈尔滨理工大学理学院,黑龙江哈尔滨150080

出　　处：《数学的实践与认识》2020年第7期224-228,共5页Mathematics in Practice and Theory

基　　金：黑龙江省教育厅基本科研业务专项,黑龙江省省属高等学校基本科研业务费科研项目(135209250)。

摘　　要：利用根性、幂零性、结合零因子、正则元、中心及亚直不可约环等相关知识,研究了某些满足可变恒等式条件的环,特别是对具有强Fk性质的环进行了讨论,研究并推导出了具有Fk性质的环的正则元的若干性质.In this paper,we study some rings that satisfying the condition of variable identities by using the related theories of root,nilpotency,combination of zero factor,regular element,center and subdirectly irreducible rings,the properties of the ring with the strong Fk-property are discussed especially,the properties of the ring with the Fk-property are studied,and some properties of the regular elements of the ring with theFk-property are improved.

关 键 词：Fk性质 环 正则元 交换性 中心 

分 类 号：O153.3[理学—数学]