Weakly P-small not P-small subsets in Abelian groups
Answering a question of D. Dikranjan and I. Protasov we prove that each infinite Abelian group contains a weakly P-small subset that is not P-small.
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/895 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-895 |
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admjournalluguniveduua-article-8952018-03-21T07:07:28Z Weakly P-small not P-small subsets in Abelian groups Banakh, T. Lyaskovska, N. group, P-small sets 20K99, 05D05 Answering a question of D. Dikranjan and I. Protasov we prove that each infinite Abelian group contains a weakly P-small subset that is not P-small. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/895 Algebra and Discrete Mathematics; Vol 5, No 3 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/895/424 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2018-03-21T07:07:28Z |
| collection |
OJS |
| language |
English |
| topic |
group P-small sets 20K99 05D05 |
| spellingShingle |
group P-small sets 20K99 05D05 Banakh, T. Lyaskovska, N. Weakly P-small not P-small subsets in Abelian groups |
| topic_facet |
group P-small sets 20K99 05D05 |
| format |
Article |
| author |
Banakh, T. Lyaskovska, N. |
| author_facet |
Banakh, T. Lyaskovska, N. |
| author_sort |
Banakh, T. |
| title |
Weakly P-small not P-small subsets in Abelian groups |
| title_short |
Weakly P-small not P-small subsets in Abelian groups |
| title_full |
Weakly P-small not P-small subsets in Abelian groups |
| title_fullStr |
Weakly P-small not P-small subsets in Abelian groups |
| title_full_unstemmed |
Weakly P-small not P-small subsets in Abelian groups |
| title_sort |
weakly p-small not p-small subsets in abelian groups |
| description |
Answering a question of D. Dikranjan and I. Protasov we prove that each infinite Abelian group contains a weakly P-small subset that is not P-small. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/895 |
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AT banakht weaklypsmallnotpsmallsubsetsinabeliangroups AT lyaskovskan weaklypsmallnotpsmallsubsetsinabeliangroups |
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2025-12-02T15:37:28Z |
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2025-12-02T15:37:28Z |
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1850411423275941888 |