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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| Date: | 1997 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| 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| _version_ | 1860511241072541696 |
|---|---|
| author | Zelenyuk, E. G. Зеленюк, Е. Г. Зеленюк, Е. Г. |
| author_facet | Zelenyuk, E. G. Зеленюк, Е. Г. Зеленюк, Е. Г. |
| author_sort | Zelenyuk, E. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:23:40Z |
| description | We prove that every infinite Abelian algebra and every countable field contain infinite topologically free subsets. |
| first_indexed | 2026-03-24T03:09:45Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5045 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:09:45Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b6/3cb491af03a221670b47b4ca1fb61bb6.pdf |
| spelling | umjimathkievua-article-50452020-03-18T21:23:40Z Topologically free subsets of universal algebras Топологически свободные подмножества алгебр Zelenyuk, E. G. Зеленюк, Е. Г. Зеленюк, Е. Г. We prove that every infinite Abelian algebra and every countable field contain infinite topologically free subsets. Доведено, що колена нескінченна абелева група та кожне злічеине поле містять нескінченні топологічно вільні підмиожиии. Institute of Mathematics, NAS of Ukraine 1997-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5045 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 5 (1997); 651–661 Український математичний журнал; Том 49 № 5 (1997); 651–661 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5045/6787 https://umj.imath.kiev.ua/index.php/umj/article/view/5045/6788 Copyright (c) 1997 Zelenyuk E. G. |
| spellingShingle | Zelenyuk, E. G. Зеленюк, Е. Г. Зеленюк, Е. Г. Topologically free subsets of universal algebras |
| title | Topologically free subsets of universal algebras |
| title_alt | Топологически свободные подмножества алгебр |
| title_full | Topologically free subsets of universal algebras |
| title_fullStr | Topologically free subsets of universal algebras |
| title_full_unstemmed | Topologically free subsets of universal algebras |
| title_short | Topologically free subsets of universal algebras |
| title_sort | topologically free subsets of universal algebras |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5045 |
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