拓扑半群下集上由其酉扩张诱导的拓扑

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2022-01-01 DOI:10.1515/taa-2020-0110

B. Averbukh

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引用次数: 0

摘要

摘要:给定拓扑单群的所有幺正柯西滤波器收敛的扩展，可以在其基础集合上推导出di˙不同的拓扑。我们研究了这些拓扑的性质，并证明了该单阵的初始拓扑是其中之一的一个条件。

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On topologies on the underlying set of a topological monoid induced by its unitary extensions

Abstract Extensions of a given topological monoid where all its unitary Cauchy filters converge, can induce di˙erent topologies on its underlying set. We study properties of these topologies and prove a condition under which the initial topology of this monoid is one of them.

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来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks