On the theory of groups with generalized minimality condition for closed subgroups
We prove that a topological Abelian locally compact group with generalized minimality condition for closed subgroups is a group of one of the following types: 1) a group with minimality condition for closed subgroups, 2) an additive group of theJ p -ring of integerp-adic numbers, 3) an additive gro...
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| Дата: | 1999 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1999
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4623 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510775100047360 |
|---|---|
| author | Charin, V. S. Чарин, В. С. Чарин, В. С. |
| author_facet | Charin, V. S. Чарин, В. С. Чарин, В. С. |
| author_sort | Charin, V. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:09:58Z |
| description | We prove that a topological Abelian locally compact group with generalized minimality condition for closed subgroups is a group of one of the following types: 1) a group with minimality condition for closed subgroups, 2) an additive group of theJ p -ring of integerp-adic numbers, 3) an additive groupR p of the field ofp-adic numbers (p is a prime number). |
| first_indexed | 2026-03-24T03:02:21Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4623 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:21Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f7/912377a725d5ece36f3b6af395eae3f7.pdf |
| spelling | umjimathkievua-article-46232020-03-18T21:09:58Z On the theory of groups with generalized minimality condition for closed subgroups К теории групп с обобщенным условием минимальности для замкнутых подгрупп Charin, V. S. Чарин, В. С. Чарин, В. С. We prove that a topological Abelian locally compact group with generalized minimality condition for closed subgroups is a group of one of the following types: 1) a group with minimality condition for closed subgroups, 2) an additive group of theJ p -ring of integerp-adic numbers, 3) an additive groupR p of the field ofp-adic numbers (p is a prime number). Доведено, що топологічна абелева локально компактна група з узагальненою умовою мінімальності для замкнених підгруп є групою одного з наступних типів: 1) група з умовою мінімальності для замкнених підгруп; 2) адитивна група $J_р$ — кільця цілих р-адичних чисел; 3) адитивна група $R_p$ поля $p$-адичних чисел ($p$ — просте число). Institute of Mathematics, NAS of Ukraine 1999-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4623 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 3 (1999); 398–409 Український математичний журнал; Том 51 № 3 (1999); 398–409 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4623/5949 https://umj.imath.kiev.ua/index.php/umj/article/view/4623/5950 Copyright (c) 1999 Charin V. S. |
| spellingShingle | Charin, V. S. Чарин, В. С. Чарин, В. С. On the theory of groups with generalized minimality condition for closed subgroups |
| title | On the theory of groups with generalized minimality condition for closed subgroups |
| title_alt | К теории групп с обобщенным условием минимальности для замкнутых
подгрупп |
| title_full | On the theory of groups with generalized minimality condition for closed subgroups |
| title_fullStr | On the theory of groups with generalized minimality condition for closed subgroups |
| title_full_unstemmed | On the theory of groups with generalized minimality condition for closed subgroups |
| title_short | On the theory of groups with generalized minimality condition for closed subgroups |
| title_sort | on the theory of groups with generalized minimality condition for closed subgroups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4623 |
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