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

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 monotheti...

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Kaituhi matua: Averbukh Boris G.
Hōputu: Artigo
Reo:Inglês
I whakaputaina: De Gruyter 2019-05-01
Rangatū:Topological Algebra and its Applications
Ngā marau:
Urunga tuihono:https://doi.org/10.1515/taa-2019-0001
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