Topologically free subsets of universal algebras

We prove that every infinite Abelian algebra and every countable field contain infinite topologically free subsets.

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Bibliographic Details
Date:1997
Main Authors: Zelenyuk, E. G., Зеленюк, Е. Г.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5045
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We prove that every infinite Abelian algebra and every countable field contain infinite topologically free subsets.