首页 | 本学科首页   官方微博 | 高级检索  
    按 检索      


On Amitsur rings
Abstract:Abstract

In this note, we introduce (hereditary) Amitsur rings and give examples of (hereditary) Amitsur rings. We construct radicals /></span> and <span class= /></span><sub><i>S</i></sub>. We also find radicals in which every prime ring is a hereditary Amitsur ring and radicals in which every prime ring is not a hereditary Amitsur ring. We give characterizations for (hereditary) Amitsur rings and prove that the semisimple class <i>S</i><span class= /></span><sub><i>S</i></sub> is polynomial extensible. We show that all zero rings are Amitsur rings and all Baer radical rings are hereditary Amitsur rings.</td> </tr> <tr> <td align=
Keywords:16N80
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号