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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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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188550 |
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irk-123456789-1885502023-03-06T01:26:54Z Zero-sum subsets of decomposable sets in Abelian groups Banakh, T. Ravsky, A. 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. 2020 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/188550 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Banakh, T. Ravsky, A. |
| spellingShingle |
Banakh, T. Ravsky, A. Zero-sum subsets of decomposable sets in Abelian groups Algebra and Discrete Mathematics |
| author_facet |
Banakh, T. Ravsky, A. |
| author_sort |
Banakh, T. |
| title |
Zero-sum subsets of decomposable sets in Abelian groups |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2020 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT banakht zerosumsubsetsofdecomposablesetsinabeliangroups AT ravskya zerosumsubsetsofdecomposablesetsinabeliangroups |
| first_indexed |
2023-10-18T23:08:37Z |
| last_indexed |
2023-10-18T23:08:37Z |
| _version_ |
1796157359999942656 |