A galois theory for the banach algebra of continuous symmetric functions on absolute galois groups

被引：0
|
作者：
Popescu A. [1 ]
Popescu N. [2 ]
Zaharescu A. [2 ,3 ]
机构：
[1] Department of Mathematics, Technical University of Civil Engineering of Bucharest, B-ul Lacul Tei 124, Bucharest 38
[2] Mathematical Institute of the Romanian Academy, P.O. Box 1-764, Bucharest
[3] Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, 61801, IL
来源：
Results in Mathematics | 2004年 / 45卷 / 3-4期
关键词：
Banach algebras; continuous functions; Galois groups; number fields;
D O I：
10.1007/BF03323388
中图分类号：
学科分类号：
摘要：
In this paper we extend the techniques and the basic results of the classical Galois theory of the fields extension [InlineMediaObject not available: see fulltext.] is an algebraic closure of Q, to the algebras extension ℝ ⊂ ℂsym(G), where this last is the ℝ— algebra of all the continuous symmetric functions ƒ defined on the absolute Galois group [InlineMediaObject not available: see fulltext.] with values in ℂ. © 2004, Birkhäuser Verlag, Basel.
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页码：349 / 358
页数：9
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