关于弱线性Armendariz环 |
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引用本文: | 王文康.关于弱线性Armendariz环[J].西北民族学院学报,2009,30(3):1-3. |
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作者姓名: | 王文康 |
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作者单位: | 西北民族大学,计算机科学与信息工程学院,甘肃,兰州,730124 |
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摘 要: | 如果在Rx]中,由(a0+a1x)(b0+b1x)=0可推出a0b1∈nil(R),那么称环R是弱线性Armendariz环,给出了弱线性Armendariz环的一些性质.
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关 键 词: | 弱线性Armendariz环 弱Armendariz环 线性Armendariz环 上三角矩阵环 半交换环 |
On Weak Linear Armendariz Rings |
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Institution: | WANG Wen - kang (school of Computer Science and Information Engineering, Northwest University For Nationalities, Lanzhou, 730124, China) |
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Abstract: | A ring R is called weak linear Armendariz, if (ao + alx)(bo + blx) = 0in R x], then a0b1∈nil(R). Some properties of weak linear Armendariz rings are studied. |
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Keywords: | matrxx ring weak linear Armendariz ring weak Armendariz ring linear Armendariz ring upper triangular semicommutative ring |
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