| Morphic-环与SF-环 |
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| 引用本文： | 李艳午,储茂权.Morphic-环与SF-环[J].大学数学,2010,26(5). |
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| 作者姓名： | 李艳午 储茂权 |
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| 基金项目： | 2009年安徽高校省级自然科学研究项目，安徽省教育厅优秀青年人才基金项目 |
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| 摘 要： | 以正则环为桥梁,研究了morphic-环与SF-环之间的关系.主要工作如下:(i)研究了SF-环成为morphic-环的若干条件;(ii)讨论了在一定条件下SF-环与morphic-环的等价性;(iii)给出了利用morphic-环对半单环在约化条件下的一个刻划.
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| 关 键 词： | morphic-环 (强)正则环 SF-环 约化环 半单环 |
Morphic Rings and SF-Rings |
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| LI Yan-wu,CHU Mao-quan.Morphic Rings and SF-Rings[J].College Mathematics,2010,26(5). |
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| Authors: | LI Yan-wu CHU Mao-quan |
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| Abstract: | This paper studies the relationship between morphic-ring and SF-ring,which taking regular-ring as a bridge.Main research as follows:(1)has studied some conditions that SF-ring turn into morphic-ring;(2)has discussed the equivalence that SF-ring and morphic-ring are encircled under certain conditions;(3)has given a characterization of semi-simple ring which making use of the morphic-ring under the reduce condition. |
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| Keywords: | morphic-ring (stong) regular ring SF-ring reduced ring semi-simple ring |
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