| 关于幂等元之差的可逆性 |
| |
| 引用本文： | 左可正.关于幂等元之差的可逆性[J].数学杂志,2007,27(1):96-100. |
| |
| 作者姓名： | 左可正 |
| |
| 作者单位： | 湖北师范学院数学系,湖北黄石,435002 |
| |
| 摘 要： | 本文研究在一个有单位元的环中两个幂等元之差的可逆性问题,利用幂等元的性质,得到了两个幂等元之差可逆的几个充分必要条件,并给出了在矩阵环中的几个应用.
|
| 关 键 词： | 有单位元的环 幂等元 可逆性 矩阵环 |
| 文章编号： | 0255-7797（2007）01-0096-05 |
| 修稿时间： | 2004-10-082005-04-08 |
ON THE INVERTIBILITY OF THE DIFFERENCE OF IDEMPOTENTS |
| |
| ZUO Ke-zheng.ON THE INVERTIBILITY OF THE DIFFERENCE OF IDEMPOTENTS[J].Journal of Mathematics,2007,27(1):96-100. |
| |
| Authors: | ZUO Ke-zheng |
| |
| Institution: | Dept. of Math. , Hubei Normal University, Huangshi 435002,China |
| |
| Abstract: | This paper is a study of invertibility of the difference of two idempotents of a unitary ring.Using properties of idempotents,we show several necessary and sufficient conditions for the invertibility of the difference of two idempotents, and exhibit some applications to matrix rings. |
| |
| Keywords: | unitary ring idempotent invertibility matrix ring |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
