| 斜Armendariz矩阵环 |
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| 引用本文： | 杨刚,刘仲奎,王彦军. 斜Armendariz矩阵环[J]. 数学研究及应用, 2010, 30(6): 1055-1060. DOI: 10.3770/j.issn:1000-341X.2010.06.014 |
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| 作者姓名： | 杨刚 刘仲奎 王彦军 |
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| 作者单位： | 兰州交通大学数理与软件工程学院, 甘肃 兰州 730070; 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;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(Grant No.10901129), 兰州交通大学自然课题(Grant No.409039). |
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| 摘 要： | Let R be a ring.We show in the paper that the subring Un(R) of the upper triangular matrix ring Tn(R) is α-skew Armendariz if and only if R is α-rigid,also it is maximal in some non α-skew Armendariz rings,where α is a ring endomorphism of R with α(1) = 1.
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| 关 键 词： | Armendariz ring skew Armendariz ring reduced ring matrix ring. |
| 收稿时间： | 2008-09-04 |
| 修稿时间： | 2009-09-15 |
On Skew Armendariz Matrix Rings |
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| Gang YANG,Zhong Kui LIU and Yan Jun WANG. On Skew Armendariz Matrix Rings[J]. Journal of Mathematical Research with Applications, 2010, 30(6): 1055-1060. DOI: 10.3770/j.issn:1000-341X.2010.06.014 |
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| Authors: | Gang YANG Zhong Kui LIU Yan Jun WANG |
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| Affiliation: | 1. School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Gansu 730070,P.R.China;Department of Mathematics,Northwest Normal University,Gansu 730070,P.R.China
2. Department of Mathematics,Northwest Normal University,Gansu 730070,P.R.China |
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| Abstract: | Let $R$ be a ring. We show in the paper that the subring $U_n(R)$ of the upper triangular matrix ring $T_n(R)$ is $overline{alpha}$-skew Armendariz if and only if $R$ is $alpha$-rigid, also it is maximal in some non $overline{alpha}$-skew Armendariz rings, where $alpha$ is a ring endomorphism of $R$ with $alpha(1)=1$. |
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| Keywords: | Armendariz ring skew Armendariz ring reduced ring matrix ring. |
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