Zero-sum subsets of decomposable sets in Abelian groups
A subset D of an abelian group is decomposable if ∅ ≠ D ⊂ D + D. In the paper we give partial answers to an open problem asking whether every finite decomposable subset D of an abelian group contains a non-empty subset Z ⊂ D with ∑Z = 0.
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188550 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Zero-sum subsets of decomposable sets in Abelian groups / T. Banakh, A. Ravsky // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 15–25. — Бібліогр.: 3 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-188550 |
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Banakh, T. Ravsky, A. 2023-03-05T17:17:55Z 2023-03-05T17:17:55Z 2020 Zero-sum subsets of decomposable sets in Abelian groups / T. Banakh, A. Ravsky // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 15–25. — Бібліогр.: 3 назв. — англ. 1726-3255 DOI:10.12958/adm1494 2010 MSC: 05E15 https://nasplib.isofts.kiev.ua/handle/123456789/188550 A subset D of an abelian group is decomposable if ∅ ≠ D ⊂ D + D. In the paper we give partial answers to an open problem asking whether every finite decomposable subset D of an abelian group contains a non-empty subset Z ⊂ D with ∑Z = 0. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Zero-sum subsets of decomposable sets in Abelian groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Zero-sum subsets of decomposable sets in Abelian groups |
| spellingShingle |
Zero-sum subsets of decomposable sets in Abelian groups Banakh, T. Ravsky, A. |
| title_short |
Zero-sum subsets of decomposable sets in Abelian groups |
| title_full |
Zero-sum subsets of decomposable sets in Abelian groups |
| title_fullStr |
Zero-sum subsets of decomposable sets in Abelian groups |
| title_full_unstemmed |
Zero-sum subsets of decomposable sets in Abelian groups |
| title_sort |
zero-sum subsets of decomposable sets in abelian groups |
| author |
Banakh, T. Ravsky, A. |
| author_facet |
Banakh, T. Ravsky, A. |
| publishDate |
2020 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
A subset D of an abelian group is decomposable if ∅ ≠ D ⊂ D + D. In the paper we give partial answers to an open problem asking whether every finite decomposable subset D of an abelian group contains a non-empty subset Z ⊂ D with ∑Z = 0.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188550 |
| citation_txt |
Zero-sum subsets of decomposable sets in Abelian groups / T. Banakh, A. Ravsky // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 15–25. — Бібліогр.: 3 назв. — англ. |
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AT banakht zerosumsubsetsofdecomposablesetsinabeliangroups AT ravskya zerosumsubsetsofdecomposablesetsinabeliangroups |
| first_indexed |
2025-12-07T18:22:32Z |
| last_indexed |
2025-12-07T18:22:32Z |
| _version_ |
1850874793016950784 |