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关于约化环和S—弱正则环的一点注记
引用本文:王彩云,任大文.关于约化环和S—弱正则环的一点注记[J].山西大学学报(自然科学版),1993,16(1):6-8.
作者姓名:王彩云  任大文
作者单位:山西大学数学系 (王彩云),山西大学附属中学(任大文)
摘    要:本文给出了分别由约化环类和s-弱正则环类确定的上根的一些基本性质。作为推论,指出5]中的一个结论是错误的,并给出了修正后的结果。

关 键 词:约化环  S-弱正则环

A NOTE ON REDUCED RINGS AND s-WEAKLY REGULAR RINGS
Wang Caiyun.A NOTE ON REDUCED RINGS AND s-WEAKLY REGULAR RINGS[J].Journal of Shanxi University (Natural Science Edition),1993,16(1):6-8.
Authors:Wang Caiyun
Institution:Wang Caiyun (Department of Mathematics Shanxi University)Ren Dawen (Middle School Attached to Shanxi University)
Abstract:Some basic properties of the upper radicals determined by the classes of reduced rings and s-weakly regular rings are presented respectively. As a corollary, it is pointed out that a conclusion in 5] is not true, while a correct result is given.
Keywords:reduced ring  s-weakly regular ring
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