| 斜幂级数环的主拟Baer性 |
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| 引用本文： | 刘仲奎,范维丽.斜幂级数环的主拟Baer性[J].数学研究及应用,2005,25(2):197-203. |
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| 作者姓名： | 刘仲奎 范维丽 |
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| 作者单位： | 西北师范大学数学系,甘肃,兰州,730070 |
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| 基金项目： | National Natural Science Foundation of China (10171082), TRAPOYT
the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China |
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| 摘 要： | 设R是环,并且R的左半中心幂等元都是中心幂等元, α是R的一个弱刚性自同态. 本文证明了斜幂级数环Rx,α]]是右主拟Baer环当且仅当R是右主拟Baer环,并且R的任意可数幂等元集在I(R)中有广义交,其中I(R)是R的幂等元集.
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| 关 键 词： | 弱刚性自同态 主拟Baer环 斜幂级数环 |
| 收稿时间： | 2003/1/17 0:00:00 |
Principal Quasi-Baerness of Skew Power Series Rings |
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| LIU Zhong-kui and FAN Wei-li.Principal Quasi-Baerness of Skew Power Series Rings[J].Journal of Mathematical Research with Applications,2005,25(2):197-203. |
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| Authors: | LIU Zhong-kui and FAN Wei-li |
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| Institution: | Dept. of Math.; Northwest Normal University; Lanzhou; China;Dept. of Math.; Northwest Normal University; Lanzhou; China |
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| Abstract: | Let R be a ring such that all left semicentral idempotents are central and α a weakly rigid endomorphism of R. It is shown that the skew power series ring Rx; α]] is right p.q. Baer if and only if R is right p.q. Baer and any countable family of idempotents in R has a generalized join in I(R), where I(R) is the set of all idempotents of R. |
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| Keywords: | weakly rigid endomorphism p q Baer ring skew power series ring |
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