| 半单环的几个特征 |
| |
| 引用本文： | 黎奇升 庹清. 半单环的几个特征[J]. 吉首大学学报(自然科学版), 1998, 19(3): 13-15 |
| |
| 作者姓名： | 黎奇升 庹清 |
| |
| 作者单位： | 吉首大学数学与计算机科学系!吉首，416000，吉首大学数学与计算机科学系!吉首，416000 |
| |
| 摘 要： | 本文利用准正则环、SF─环、P─内射性给出了半单环的几个新刻画。
|
| 关 键 词： | 半单环 准正则环 SF─环 P─内射 |
Several Characterizations of Semisimple Rings |
| |
| Li Qishen, Tuo Qin. Several Characterizations of Semisimple Rings[J]. Journal of Jishou University(Natural Science Edition), 1998, 19(3): 13-15 |
| |
| Authors: | Li Qishen Tuo Qin |
| |
| Abstract: | In this paper, we prove the following main results: For a given ring R, the followingconditions are equivalent:(1) R is a semisimple ring,(2) Each one-sided ideal E=0 contains an. idempotent and R contains no infinite pair-wise orthogonal idempotents,(3) Each maximal essential right ideal I of R is finitely generated and P-injective,(4) Each maximal essential left ideal L of R is finitely generated and P-injective. |
| |
| Keywords: | semisimple rings quasi-regular rings SF-rings P-injective |
| 本文献已被 CNKI 维普 等数据库收录！ |
