| 一致环确定的两种特殊类及其上根 |
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| 引用本文： | 潘海晶,杨新松,陈光海.一致环确定的两种特殊类及其上根[J].哈尔滨理工大学学报,2007,12(2):73-74. |
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| 作者姓名： | 潘海晶 杨新松 陈光海 |
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| 作者单位： | 1. 哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080;哈尔滨师范大学,数学系,黑龙江,哈尔滨,150500
2. 哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080 |
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| 摘 要： | 给出了一致环类能够形成特殊类的两个充分条件．即所有的F一致环形成一个特殊类,其中F环类是弱特殊类;非S-半单的半素一致环类是特殊类,其中S是一种根性,该根性对应的根包含Baer根．如Levitizi根,Koethe根,Brown-McCoy根等．最后对一致环所确定的上根进行了刻画．
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| 关 键 词： | 特殊类 特殊根 一致环 |
| 文章编号： | 1007-2683（2007）02-0073-02 |
| 修稿时间： | 2006-04-20 |
Two Kinds Special Classes Determined by Uniform Rings and Their Upper Radicals |
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| PAN Hai-jing,YANG Xin-song,CHEN Guang-hai.Two Kinds Special Classes Determined by Uniform Rings and Their Upper Radicals[J].Journal of Harbin University of Science and Technology,2007,12(2):73-74. |
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| Authors: | PAN Hai-jing YANG Xin-song CHEN Guang-hai |
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| Affiliation: | 1. Applied Science College,ftarbin Univ. Sci. Tech. , Harbin 150080 China; 2. Harbin Norm University, Department of Mathematics, 150500 China |
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| Abstract: | In this paper,two sufficient conditions which uniform rings can come into being special class are given.That is to say,all F-uniform rings form a kind of special class,and F-ring class is weak special class;all Non-S-semisimple semiprime uniform rings are special class,and S is a sort of radical property,the radical corre- spending which contains Bear radical,such as Levitizi radical,Koethe radical and Brown-McCoy radical and so on.Finally upper radical determined by uniform rings is depicted. |
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| Keywords: | uniform rings special class special radical |
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