| clean环中的几个上三角矩阵环 |
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| 引用本文： | 温立书.clean环中的几个上三角矩阵环[J].辽宁石油化工大学学报,2013,33(1):94-96. |
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| 作者姓名： | 温立书 |
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| 作者单位： | 辽宁石油化工大学理学院,辽宁抚顺113001 |
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| 摘 要： | 研究了clean环中的几个上三角矩阵环。通过将clean环的定义推广到任意环(不必有1),得到若R
是clean环,G 是阶为2的群,满足一定条件,群环RG 也是clean环;证明了一些上三角矩阵环是强clean环。最后
推广了一些结论,得到一些上三角矩阵环是强f飊clean环。
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| 关 键 词： | clean环 强clean环 f-clean环 上三角矩阵环 |
| 收稿时间： | 2012-07-06 |
Several Upper Triangular Matrix Rings of Clean Rings |
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| WEN Lishu.Several Upper Triangular Matrix Rings of Clean Rings[J].Journal of Liaoning University of Petroleum & Chemical Technology,2013,33(1):94-96. |
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| Authors: | WEN Lishu |
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| Affiliation: | college of Sciences,Liaoning Shihua University,Fushun Liaoning 113001，China |
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| Abstract: | Several upper triangular matrix rings of clean rings were studied. By the definition of a clean ring （with 1） is extended to any ring （not necessarily with 1） ,some results were proved： Let R be a clean ring, and let G be a group of order 2, then group ring RG is also a clean ring under some conditions. Several upper triangular matrix rings are strongly clean rings. Then several results of clean rings were extended; some upper triangular matrix rings are a strongly f-clean rings. |
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| Keywords: | Clean ring Strongly clean ring f-Clean ring Some upper triangular matrix rings |
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