| 半正则环的推广 |
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| 引用本文： | 严兴凤,刘仲奎.半正则环的推广[J].数学研究及应用,2009,29(6):1124-1130. |
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| 作者姓名： | 严兴凤 刘仲奎 |
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| 作者单位： | 西北师范大学数学系, 甘肃 兰州 730070;西北师范大学数学系, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金(No.10571085). |
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| 摘 要： | In this paper, the concept of generalized semiregular rings is extended to generalized weak semiregular rings. Some properties of these rings are studied and some results about semiregular rings and generalized semiregular rings are extended. We also give some equivalent characterizations ofI-weak semiregular rings.
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| 关 键 词： | 正则环 等价刻画 广义 环和 |
| 收稿时间： | 2007/7/12 0:00:00 |
| 修稿时间： | 3/8/2008 12:00:00 AM |
A Generalization of Semiregular Rings |
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| YAN Xing Feng and LIU Zhong Kui.A Generalization of Semiregular Rings[J].Journal of Mathematical Research with Applications,2009,29(6):1124-1130. |
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| Authors: | YAN Xing Feng and LIU Zhong Kui |
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| Institution: | Department of Mathematics, Northwest Normal University, Gansu 730070, China;Department of Mathematics, Northwest Normal University, Gansu 730070, China |
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| Abstract: | In this paper, the concept of generalized semiregular rings is extended to generalized weak semiregular rings. Some properties of these rings are studied and some results about semiregular rings and generalized semiregular rings are extended. We also give some equivalent characterizations of $I$-weak semiregular rings. |
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| Keywords: | weak semiregular rings generalized semiregular rings generalized weak semiregular rings $I$-weak semiregular rings |
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