Two theorems on imbeddings of 0-dimensional groups
In the class of 0-dimensional groups with infinite weight, the universal group is constructed. We prove that a 0-dimensional group can be imbedded into a multiplicative subgroup of a topological ring.
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5603 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511834508886016 |
|---|---|
| author | Protasov, I. V. Протасов, И. В. Протасов, И. В. |
| author_facet | Protasov, I. V. Протасов, И. В. Протасов, И. В. |
| author_sort | Protasov, I. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:13Z |
| description | In the class of 0-dimensional groups with infinite weight, the universal group is constructed. We prove that a 0-dimensional group can be imbedded into a multiplicative subgroup of a topological ring. |
| first_indexed | 2026-03-24T03:19:11Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5603 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:19:11Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/29/8a6a63404559475c49a4ee30c1c25729.pdf |
| spelling | umjimathkievua-article-56032020-03-19T09:14:13Z Two theorems on imbeddings of 0-dimensional groups Две теоремы о вложениях 0-мерных групп Protasov, I. V. Протасов, И. В. Протасов, И. В. In the class of 0-dimensional groups with infinite weight, the universal group is constructed. We prove that a 0-dimensional group can be imbedded into a multiplicative subgroup of a topological ring. Подована універсальна група в класі 0-вимірних груп нескінченної ваги. Доведено, що О-вимірна група вкладається в мультиплікативну півгрупу топологічного кільця. Institute of Mathematics, NAS of Ukraine 1994-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5603 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 11 (1994); 1594-1596 Український математичний журнал; Том 46 № 11 (1994); 1594-1596 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5603/7891 https://umj.imath.kiev.ua/index.php/umj/article/view/5603/7892 Copyright (c) 1994 Protasov I. V. |
| spellingShingle | Protasov, I. V. Протасов, И. В. Протасов, И. В. Two theorems on imbeddings of 0-dimensional groups |
| title | Two theorems on imbeddings of 0-dimensional groups |
| title_alt | Две теоремы о вложениях 0-мерных групп |
| title_full | Two theorems on imbeddings of 0-dimensional groups |
| title_fullStr | Two theorems on imbeddings of 0-dimensional groups |
| title_full_unstemmed | Two theorems on imbeddings of 0-dimensional groups |
| title_short | Two theorems on imbeddings of 0-dimensional groups |
| title_sort | two theorems on imbeddings of 0-dimensional groups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5603 |
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