含k-布尔环的半单类的结构定理  

The structure theorem of semi-simple classes containing k-Boolean rings

作　　者：居腾霞[1] 

机构地区：[1]南通师范学院数学系,江苏南通226007

出　　处：《黑龙江大学自然科学学报》2004年第3期35-36,39,共3页Journal of Natural Science of Heilongjiang University

摘　　要：借助给出环的超裂零扩张的定义的手法,对遗传根的半单类的结构进行了研究,主要得出含k-布尔环的半单类的结构定理,证明了若遗传根的半单类S_R包含所有的k-布尔环(k是某个固定不变的整数)以及所有零环,而且S_R对k-布尔理想保持同态闭,则S_R包含所有布尔环。The structure of semi-simple classes of hereditary radicals is studied by methods of super split-null extensions in rings. It is shown that if the semi-simple class of hereditary radicals contains all k-boolean rings and null rings and keeps morphisms closed for k-boolean ideals, then it contains all boolean rings.

关 键 词：k-布尔环 超裂零扩张 遗传根 理想 

分 类 号：O153.3[理学—数学]