| On Skew Armendariz Matrix Rings |
| Received:September 04, 2008 Revised:September 15, 2009 |
| Key Words:
Armendariz ring skew Armendariz ring reduced ring matrix ring.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10901129) and Lanzhou Jiaotong Daxue Zixuan Keti (Grant No.409039). |
| Author Name | Affiliation | | Gang YANG | 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 | | Zhong Kui LIU | Department of Mathematics, Northwest Normal University, Gansu 730070, P. R. China | | Yan Jun WANG | 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 $\alpha(1)=1$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.06.014 |
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