| 关于域上无限方阵的可逆性 |
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| 引用本文： | 王世强.关于域上无限方阵的可逆性[J].烟台大学学报(自然科学与工程版),1994(1). |
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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 |
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| 摘 要： | 考察了域上的无限方阵。对于任一域Ｋ上行列有限的无限方阵，给出其逆方阵存在性的一些基本的充分必要条件。
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| 关 键 词： | 无限方阵，模型论 |
On the Inversibility of Infinite Matrices on a Field |
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| Wang Shiqiang.On the Inversibility of Infinite Matrices on a Field[J].Journal of Yantai University(Natural Science and Engineering edirion),1994(1). |
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| Authors: | Wang Shiqiang |
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| Institution: | Beijing Normal University |
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| Abstract: | Infinite matrices on a field are difficult to tackle for various reasons, and basic researches arestill lacking.In this article we firstly give some examples to illustrate some pathologies,and then wegive some basic criteria for the edstenee of various inverses for some spocial but important types ofinfinite matrices on an arbitrary field.The proofs are based on compactness arguments of modeltheory. |
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| Keywords: | Infinite matrix Model theory |
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