|
| 摘要: |
| 本文研究了唯一g(x)-clean环的性质与结构.利用g(x)-clean环的方法,得到了唯一g(x)-clean环与g(x)-clean环的关系,唯一g(x)-clean环与一类特殊的生成环的等价条件,以及斜Hurwitz级数环的g(x)-clean性,推广了g(x)-clean环的研究结果. |
| 关键词: g(x)-clean环 唯一clean环 斜Hurwitz级数 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:国家自然科学青年基金资助项目(NSFC11101330);陕西省青年科技新星计划(2013KJXX-34);西安市科技厅计划(CXY1341(4)) |
|
| ON UNIQUELY g(x)-clean-CLEAN RINGS |
|
SUN Xiao-qing,LI Ji-wen,SHEN Xiao-qin
|
| Abstract: |
| In this paper,we investigate the structure and property of uniquely g(x)-clean rings.Using the same method with the g(x)-clean ring,the relation between uniquely g(x)-clean rings and uniquely clean rings is determined,and the relation between uniquely g(x)-clean rings and rings generated by units and roots of 1 are given.Last,we discuss some extensions of g(x)-clean rings. |
| Key words: g(x)-clean ring uniquely clean ring skew Hurwitz series |
