| 不可数域的一个紧致性定理 |
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| 引用本文： | 王世强.不可数域的一个紧致性定理[J].北京师范大学学报(自然科学版),1992,28(2):136-140. |
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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，教授 100875，北京新外大街 |
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| 摘 要： | 给出关于不可数域上无限个线性方程及多项式不等式所成之集的可解性的一个紧致性定理,把全集的可解性化归其诸有限子集的可解性.并举例说明这一定理在无限维线性代数中的应用.
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| 关 键 词： | 不可数域 紧性定理 线性代数 |
A COMPACTNESS THEOREM FOR UNCOUNTABLE FIELDS |
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| Wang Shiqiang.A COMPACTNESS THEOREM FOR UNCOUNTABLE FIELDS[J].Journal of Beijing Normal University(Natural Science),1992,28(2):136-140. |
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| Authors: | Wang Shiqiang |
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| Abstract: | A compactness theorem about the solvability of an infinite system S of linear equations and polynomial inequalities over an uncount- able field K(with(?)<(?))is proved,which is a partial generalization of a result of A.Abian.Also,some examples are given to illustrate its applica- tions in infinite dimensional linear algebra. |
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| Keywords: | uncountable field compactness theorem infinite dimensional linear algebra |
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