一致环确定的两种特殊类及其上根  

Two Kinds Special Classes Determined by Uniform Rings and Their Upper Radicals

作　　者：潘海晶[1] 杨新松[1] 陈光海[1] 

机构地区：[1]哈尔滨理工大学应用科学学院

出　　处：《哈尔滨理工大学学报》2007年第2期73-74,共2页Journal of Harbin University of Science and Technology

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．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 corresponding 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.

关 键 词：特殊类 特殊根 一致环 

分 类 号：O153[理学—数学]