摘要
本文利用群的根性的性质,解决了Szasz在环的根性理论中提出的公开问题在群论中的对应问题.同时我们研究了群的遗传根性和强半单根性的一些性质,并介绍了群的根类的交运算和并运算,由此得到了一些很好的结果.
In this note, some properties of the radical property of groups are applied to solve the corresponding problems of the open questions raised by Szasz in the radical theory of rings in group theory. Also the intersection and the union of radical classes are studied, and some properties of the hereditary radical property and the strong semisimple radical property are discussed, which leads to reasonable conclusions.
出处
《中国科学：数学》
CSCD
北大核心
2010年第8期773-782,共10页
Scientia Sinica：Mathematica
基金
国家自然科学基金(批准号:10771180
10926129)
成都信息工程学院院选项目(批准号:CRF200905)资助项目
关键词
群的遗传根性
群的强半单根性
根类的交
根类的并
the hereditary radical property of groups, the strong semisimple radical property of groups, the intersection of radical classes, the union of radical classes
