| 广义半$\pi$-正则环 |
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| 引用本文： | 严兴凤,刘仲奎.广义半$\pi$-正则环[J].数学研究及应用,2009,29(3):471-476. |
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| 作者姓名： | 严兴凤 刘仲奎 |
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| 作者单位： | 西北师范大学数学与信息科学学院, 甘肃 兰州 730070;西北师范大学数学与信息科学学院, 甘肃 兰州 730070 |
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| 摘 要： | In this paper, the concept of right generalized semi-π-regular rings is defined. We prove that these rings are non-trival generalizations of both right GP-injective rings and semi- π-regular rings. Some properties of these rings are studied and some results about generalized semiregular rings and GP-injective rings are extended.
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| 关 键 词： | 正则环 广义 戒指 环和 内射 |
| 收稿时间： | 2006/11/13 0:00:00 |
| 修稿时间： | 2007/3/23 0:00:00 |
Generalized Semi-$\pi$-Regular Rings |
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| YAN Xing Feng and LIU Zhong Kui.Generalized Semi-$\pi$-Regular Rings[J].Journal of Mathematical Research with Applications,2009,29(3):471-476. |
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| Authors: | YAN Xing Feng and LIU Zhong Kui |
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| Institution: | College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China;College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China |
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| Abstract: | In this paper, the concept of right generalized semi-$\pi$-regular rings is defined. We prove that these rings are non-trival generalizations of both right $GP$-injective rings and semi-$\pi$-regular rings. Some properties of these rings are studied and some results about generalized semiregular rings and $GP$-injective rings are extended. |
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| Keywords: | $GP$-injective rings semi-$\pi$-regular rings generalized semiregular rings generalized semi-$\pi$-regular rings |
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