| 交换环上的Roth定理及Roth定理的扩展 |
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| 引用本文： | 李桂荣,张景晓,贾如鹏.交换环上的Roth定理及Roth定理的扩展[J].德州学院学报,2004,20(4):4-5,24. |
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| 作者姓名： | 李桂荣 张景晓 贾如鹏 |
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| 作者单位： | 德州学院数学系,山东德州,253023 |
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| 摘 要： | 利用标准的交换代数方法,把证明Roth的等价与相似定理在含幺交换环R上成立简化到在Artinian环上成立,并证明了多个矩阵的Roth定理在含幺交换环上也成立.
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| 关 键 词： | 交换环 Roth定理 等价 相似 |
| 文章编号： | 1004-9444(2004)04-0004-03 |
Roth's theorem on a commutative ring and its expanding |
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| LI Gui-rong,ZHANG Jing-xiao,JIA Ru-peng.Roth''''s theorem on a commutative ring and its expanding[J].Journal of Dezhou University,2004,20(4):4-5,24. |
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| Authors: | LI Gui-rong ZHANG Jing-xiao JIA Ru-peng |
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| Abstract: | Roth's equivalence and similarity theorem on a commutative ring R with unit is simplified on an Artinian ring, in a way of standard commutative algebra. And we prove Roth's theorem of many matrixes in a commutative ring with unit. |
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| Keywords: | commutative ring Roth's theorem equivalence similarity |
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