| 关于有限环上的无限方阵 |
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| 引用本文： | 王世强.关于有限环上的无限方阵[J].首都师范大学学报(自然科学版),1992(3). |
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| 作者姓名： | 王世强 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 本文利用模型论方法证明在一些有限环(包括一切有限域在内)上关于无限方阵的若干结果,包括线性方阵方程的可解性以及把任一无限方阵表示为2平方和的定理。
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| 关 键 词： | 有限环 无限方阵 模型论 |
On Infinite Matrices Over Finite Rings |
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| Wang Shiqiang.On Infinite Matrices Over Finite Rings[J].Journal of Capital Normal University(Natural Science Edition),1992(3). |
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| Authors: | Wang Shiqiang |
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| Institution: | Wang Shiqiang Department of mathematics,Beijing Normal University |
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| Abstract: | Some results on infinite matrices over finiterings are established by model-theoretic methods. The results are in two kinds: 1) some sufficientconditions for the solvability of various linear equations in infinite matricesover an arbitrary finite ring: 2) the representability of an arbitrary infintematrix as a sum of two squares over various finite rings. In particular, it isshown that every infinite matrix over an arbitrary finite field is a sum oftwo squares. |
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| Keywords: | finite ring infinite matrix model theory |
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