| Skew Armendariz Property of A Class of Upper Triangular Matrix Rings |
| Received:August 10, 2005 Revised:July 02, 2006 |
| Key Words:
$\alpha$-skew Armendariz ring $\alpha$-rigid ring upper triangular matrix ring.
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| Abstract: |
| Let $\alpha$ be an endomorphism of a ring $R$. A ring $R$ is called $\alpha$-skew Armendariz, if $(\sum_{i=0}^{m}a_{i}x^{i})$\\$(\sum_{j=0}^{n}b_{j}x^{j})=0$ in $R[x; \alpha]$, then $a_{i}\alpha^{i}(b_{j})=0$, where $0\leq i\leq m, 0\leq j\leq n$. Let $R$ be $\alpha$-rigid. Then a class of subrings $W_{n}(p, q)$ of upper triangular matrix rings are $\overline{\alpha}$-skew Armendariz. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.04.046 |
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