|
|||||
|
|
| On Decompositions of Quasi-Regular Rings | |
| 作者单位： | Hu Xianhui(Departmnt of Mathematics，the Central Institute of Nationalities，Beijing，100081)Wu Pinsan(Department of Mathematics，Beijing Normal University，Beijing，100875) |
| 摘 要： | ＯｎＤｅｃｏｍｐｏｓｉｔｉｏｎｓｏｆＱｕａｓｉ－ＲｅｇｕｌａｒＲｉｎｇｓ￥ＨｕＸｉａｎｈｕｉ（胡先惠）（ＤｅｐａｒｔｍｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ｔｈｅＣｅｎｔｒａｌＩｎｓｔｉｔｕｔｅｏｆＮａｔｉｏｎａｌｉｔｉｅｓ，Ｂｅｉｊｉｎｇ，１０００８１）... |
On Decompositions of Quasi-Regular Rings |
|
| Authors: | Hu Xianhui |
| Abstract: | In this paper, we generalize a decomposition theorem for regular rings to quasi-regular rings, that is, if R is a quasi--regular,right self-injective ring,then there is a ring decomposition R = ST,such that Sis an abelian regular ring and T is a totally non--abelian quasi-regular ring. |
| Keywords: | and Phrases Abelian Regular Ring Totally Non-abelian Resular Ring Totally Nonabelian Quasi--regular Ring Quasi--regular Ring Singular Ring Nonsingular Ring |
| 本文献已被 CNKI 等数据库收录！ | |