On base radical and semisimple classes defined by class operators

被引：0
|
作者：
N. R. McConnell
R. G. McDougall
T. Stokes
机构：
[1] Department of Defence,School of Information and Communication Technologies
[2] Central Queensland University,Department of Mathematics
[3] University of Waikato,undefined
来源：
Acta Mathematica Hungarica | 2013年 / 138卷
关键词：
radical class; semisimple class; base radical; 16N80; 17A65; 08A05; 08C99;
D O I：
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中图分类号：
学科分类号：
摘要：
By using class operators, we define base radical and semisimple classes, within a broad abstract setting due to Puczylowski. The new notions agree with the usual Kurosh–Amitsur ones for associative rings and groups but differ for not necessarily associative rings, in general lying strictly between the Kurosh–Amitsur and torsion theory notions. A study of the class operators for their own sake is initiated, and a connection with modal logic is made.
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页码：307 / 328
页数：21
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