摘要
本文给出任意一个根的补根的具体刻划,并由此分别得到了一个根的补根恰为强半单环类、补根是遗传根、一个根有对偶补根和一个根是遗传根且有对偶补根的充要条件。最后一个充婴条件是对Szasz(Radicals of Rings)的公开问题的一个解答。
Author gives a concrete characterization of the supplementing radical of radicala class and by the characterization obtains a necessary and sufficient condition fora radical of which the supplementing radical class is the class of strongly semi-simple rings,a radical of which the supplementing radical is hereditary,a radicaland its supplementing radical to form a dual pair,and a hereditary radical and itssupplementing radical to form a dual pair,respectively.The last one answers anopen problem posted by Szasz in his book“Radicals of Rings”.
出处
《晓庄学院自然科学学报》
CAS
1989年第3期197-199,共3页
Journal of Natural Science of Hunan Normal University
关键词
环
根
补根
ring
hereditary ring
radical/supplementing radical
class of strongly semisimple rings
hereditary radical
