Finitely generated subgroups as von Neumann radicals of an Abelian group
Let G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G. It is proved that every infinite finitely generated Abelian group admits a complete Hausdorff minimally almo...
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| Format: | Article |
| Language: | deu |
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Ivan Franko National University of Lviv
2012-11-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/texts/2012/38_2/124-138.pdf |
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| author | S. S. Gabriyelyan |
| author_facet | S. S. Gabriyelyan |
| author_sort | S. S. Gabriyelyan |
| collection | DOAJ |
| description | Let G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G. It is proved that every infinite finitely generated Abelian group admits a complete Hausdorff minimally almost periodic group topology. The latter result resolves a particular case of Comfort’s problem. |
| format | Article |
| id | doaj-art-cead867e45644345ae683abbabc571e0 |
| institution | DOAJ |
| issn | 1027-4634 |
| language | deu |
| publishDate | 2012-11-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-cead867e45644345ae683abbabc571e02025-08-20T03:19:50ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342012-11-01382124138Finitely generated subgroups as von Neumann radicals of an Abelian groupS. S. GabriyelyanLet G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G. It is proved that every infinite finitely generated Abelian group admits a complete Hausdorff minimally almost periodic group topology. The latter result resolves a particular case of Comfort’s problem.http://matstud.org.ua/texts/2012/38_2/124-138.pdfcharacterized groupT-sequencevon Neumann radicalfinitely generated subgroup |
| spellingShingle | S. S. Gabriyelyan Finitely generated subgroups as von Neumann radicals of an Abelian group Математичні Студії characterized group T-sequence von Neumann radical finitely generated subgroup |
| title | Finitely generated subgroups as von Neumann radicals of an Abelian group |
| title_full | Finitely generated subgroups as von Neumann radicals of an Abelian group |
| title_fullStr | Finitely generated subgroups as von Neumann radicals of an Abelian group |
| title_full_unstemmed | Finitely generated subgroups as von Neumann radicals of an Abelian group |
| title_short | Finitely generated subgroups as von Neumann radicals of an Abelian group |
| title_sort | finitely generated subgroups as von neumann radicals of an abelian group |
| topic | characterized group T-sequence von Neumann radical finitely generated subgroup |
| url | http://matstud.org.ua/texts/2012/38_2/124-138.pdf |
| work_keys_str_mv | AT ssgabriyelyan finitelygeneratedsubgroupsasvonneumannradicalsofanabeliangroup |