| 摘要: |
| 本文引入了UQ-环和UJII-环的概念,推广了UJ-环.利用环论中元素的技巧,研究了UQ-环和UJII-环的性质和结构,相关结果丰富了环中关于元素分解的理论. |
| 关键词: UJ-环 UQ-环 强UJII-环 clean环 |
| DOI： |
| 分类号:O153.3 |
| 基金项目: |
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| ON UQ-RINGS AND STRONG UJII-RINGS |
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CUI Jian, SHA Ling-yu
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School of Mathematics and Statistics, Anhui Normal University, Wuhu 241002, China
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| Abstract: |
| In this paper, we introduce the notions of UQ-rings and strong UJII-rings which generalize the concept of UJ-rings. We provide many properties and structures of these two classes of rings by using theoretical skills in rings. The conclusions enrich the theory that is related to elements decomposition. |
| Key words: UJ-ring UQ-ring strong UJII-ring clean ring |
