| 唯一强Clean群环 |
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| 引用本文： | 昝立博.唯一强Clean群环[J].南京气象学院学报,2016,8(5):479-480. |
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| 作者姓名： | 昝立博 |
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| 作者单位： | 南京信息工程大学 数学与统计学院, 南京, 210044 |
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| 基金项目： | 江苏省自然科学青年基金（BK20130983） |
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| 摘 要： | 环称为唯一强clean是指每一个元素都可唯一的表示为可交换的幂等元与单位元的和.主要讨论唯一强clean群环的结构，证明了如果群G是局部有限群，则群环RG是唯一强clean环当且仅当环R是唯一强clean环，群G是2-群.
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| 关 键 词： | 群环 clean环 强clean环 唯一强clean环 唯一clean环 |
| 收稿时间： | 2015/4/21 0:00:00 |
Uniquely strongly clean group rings |
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| ZAN Libo.Uniquely strongly clean group rings[J].Journal of Nanjing Institute of Meteorology,2016,8(5):479-480. |
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| Authors: | ZAN Libo |
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| Institution: | School of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044 |
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| Abstract: | A ring is called uniquely strongly clean if every element is uniquely the sum of an idempotent and a unit that commute.The structure of uniquely strongly clean group rings is studied in this paper.It is proved that if G is a locally finite group,then group ring RG is uniquely strongly clean if and only if R is uniquely strongly clean and G is a 2-group. |
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| Keywords: | group ring clean ring strongly clean ring uniquely strongly clean ring uniquely clean ring |
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