| 无限扩域的Galois群之拓扑紧性与一致化拓扑的完备性 |
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| 引用本文： | 唐熙亨. 无限扩域的Galois群之拓扑紧性与一致化拓扑的完备性[J]. 南京理工大学学报(自然科学版), 1985, 0(3) |
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| 作者姓名： | 唐熙亨 |
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| 作者单位： | 华东工学院数学教研室 |
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| 摘 要： | 本文对无限Galois扩城的Galais群,在给定的拓扑下,做了如下工作:1.证明了群G的拓扑紧性。2.论证了拓扑群G在一致化拓扑下的完备性,进而对Krull定理赋予了新的拓扑形式。3.对于可数无限扩域的Galois群,论证了它可度量化的特征。
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| 关 键 词： | 抽象代数学 域论 |
On Compactness of Galois Groups of Infinite Algebraic Field Extensions and Completeness of the Groups with Uniformizable Topologics |
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| Tang XiHang. On Compactness of Galois Groups of Infinite Algebraic Field Extensions and Completeness of the Groups with Uniformizable Topologics[J]. Journal of Nanjing University of Science and Technology(Nature Science), 1985, 0(3) |
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| Authors: | Tang XiHang |
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| Affiliation: | Tang XiHang |
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| Abstract: | In this paper, for the Galois group of the infinite Galoisextension of a field, the following things have been done: 1), to prove thecompactness of the group; 2), to prove the completeness of the group with theuniformizable topology and to give a new topological form for Krull theorem;3), to prove the metrizablc character of the group for the countable infinitealgebraic extension of a field. |
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| Keywords: | Abstrat Algebra Field Theory (Algebraic) |
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