Slowly Oscillating Functions And Closed Left Ideals Of βs

T. Alaste; M. Filali

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Slowly Oscillating Functions And Closed Left Ideals Of βs

机译：βs的缓慢振荡函数和左理想值

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摘要

Let S be an infinite discrete semigroup with a point s such that st ≠ t for any t ∈ S. We prove that every closed left ideal φ of SSS, where φ is a filter with a countable basis, is determined by a function on S which is slowly oscillating in the direction φ.

机译：令S是一个具有点s的无限离散半群，使得任何t∈S的st≠t。我们证明SSS的每个闭合左理想φ均是由S上的一个函数确定的，其中φ是一个具有可数基础的滤波器沿φ方向缓慢振荡。

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来源
《Topology and its applications》 |2009年第4期|p.669-673|共5页
作者
T. Alaste; M. Filali;
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作者单位

University of Oulu, Department of Mathematical Sciences, PL 3000, Fl-90014 Oulun yliopisto, Finland;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
slowly oscillating functions; directions of filters; left ideal; stone-cech compactification;

机译：缓慢振荡的功能;过滤器的方向;理想状态;石-压实;

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Slowly Oscillating Functions And Closed Left Ideals Of βs

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