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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2006 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157369 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Weakly P-small not P-small subsets in Abelian groups / T. Banakh, N. Lyaskovska // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 30–35. — Бібліогр.: 4 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862707985066754048 |
|---|---|
| author | Banakh, T. Lyaskovska, N. |
| author_facet | Banakh, T. Lyaskovska, N. |
| citation_txt | Weakly P-small not P-small subsets in Abelian groups / T. Banakh, N. Lyaskovska // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 30–35. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T17:09:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157369 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:09:04Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Banakh, T. Lyaskovska, N. 2019-06-20T03:07:27Z 2019-06-20T03:07:27Z 2006 Weakly P-small not P-small subsets in Abelian groups / T. Banakh, N. Lyaskovska // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 30–35. — Бібліогр.: 4 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20K99, 05D05. https://nasplib.isofts.kiev.ua/handle/123456789/157369 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. The authors express their sincere thanks to Igor
 Protasov and Ihor Zarichnyi for valuable and stimulating discussions on
 the subject of the paper. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Weakly P-small not P-small subsets in Abelian groups Article published earlier |
| spellingShingle | Weakly P-small not P-small subsets in Abelian groups Banakh, T. Lyaskovska, N. |
| title | 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_short | Weakly P-small not P-small subsets in Abelian groups |
| title_sort | weakly p-small not p-small subsets in abelian groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157369 |
| work_keys_str_mv | AT banakht weaklypsmallnotpsmallsubsetsinabeliangroups AT lyaskovskan weaklypsmallnotpsmallsubsetsinabeliangroups |