ON SOME ALGEBRAIC CHARACTERISTICS OF THE ALGEBRA OF ALL CONTINUOUS FUNCTIONS ON A LOCALLY CONNECTED COMPACTUM
ON SOME ALGEBRAIC CHARACTERISTICS OF THE ALGEBRA OF ALL CONTINUOUS FUNCTIONS ON A LOCALLY CONNECTED COMPACTUM
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局部连通紧致上所有连续函数代数的一些代数特性
DOI：
10.1070/sm1979v035n05abeh001618
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发表时间：
1979
期刊：
影响因子：
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通讯作者：
M. I. Karahanjan
中科院分区：
文献类型：
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作者：
M. I. Karahanjan
在本文的第一部分中的代数进行了研究，并在一个局部连通紧的情况下，一个特征的代数给出了从点的根的某些代数方程，它包含的重性。在第二部分中，给出了一个一般的方法来构造一致代数上适当的rectata是不同的，但有一些共同的性质（正规性，代数封闭，完全封闭等）。特别是，这些方法使我们能够得到，作为一个一般的概念，一个新的解决方案的问题格里森有关的峰值点。书目：19种。
In the first part of this paper the algebra is studied, and in the case of a locally connected compactum a characteristic of the algebra is given from the point of view of the plentitude of roots of certain algebraic equations that it contains. In the second part a general method is given for constructing uniform algebras on suitable compacta which are different from but have a number of properties in common with (normality, algebraic closure, complete closure, etc.). In particular, these methods allow us to give, as a general concept, a new solution to a problem of Gleason concerning peak points. Bibliography: 19 titles.