| (强)J-?-三幂等-clean环 |
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| 引用本文： | 郑纪文,程智.(强)J-?-三幂等-clean环[J].山东大学学报(理学版),2020,55(8):13-19. |
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| 作者姓名： | 郑纪文 程智 |
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| 作者单位： | 安徽师范大学数学与统计学院,安徽 芜湖241003;安徽师范大学数学与统计学院,安徽 芜湖241003 |
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| 基金项目： | 安徽省高校自然科学重点基金资助项目(KJ2018A0304;KJ2019A0488) |
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| 摘 要： | 引入了(强)J-*-三幂等-clean环的概念,举例说明了强J-*-三幂等-clean环类是强-clean环类的真子类,给出了强J-*-三幂等-clean环的刻画,作为应用,得到了这类环在一些环变换下的传递性质。
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| 关 键 词： | 强?-clean环 (强)J-?-三幂等-clean环 -三幂等元 Abelian环 |
(Strongly)J-*-tripotent-clean rings |
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| ZHENG Ji-wen,CHENG Zhi.(Strongly)J-*-tripotent-clean rings[J].Journal of Shandong University,2020,55(8):13-19. |
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| Authors: | ZHENG Ji-wen CHENG Zhi |
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| Institution: | School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003, Anhui, China |
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| Abstract: | The concept of(strongly)J-*-tripotent-clean ring is introduced. An example is given to illustrate that strongly J-*-tripotent-clean ring is a proper subclass of strongly clean ring. Some equivalent definitions of strongly J-*-tripotent-clean ring are given. As an application, some corresponding properties for transformations of rings are also given. |
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| Keywords: | strongly *-clean rings (strongly)J-*-tripotent-clean rings *-tripotent Abelian rings |
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