一元一元群嵌入拓扑群的存在性准则

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2019-01-01 DOI:10.1515/taa-2019-0001

B. Averbukh

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引用次数: 2

摘要

摘要利用一元一元群上的幺正柯西滤波器的性质，证明了一元一元群嵌入拓扑群的存在性判据。充分性的证明是建设性的:在相应的假设下，我们正在构建给定一元一元群的密集嵌入。

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A criterion of the existence of an embedding of a monothetic monoid into a topological group

Abstract Using properties of unitary Cauchy filters on monothetic monoids, we prove a criterion of the existence of an embedding of such a monoid into a topological group. The proof of the sufficiency is constructive: under the corresponding assumptions, we are building a dense embedding of a given monothetic monoid into a monothetic group.

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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