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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2020 |
| ISSN: | 1726-3255 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2020
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| Online Zugang: | 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 |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862719834520813568 |
|---|---|
| author | Banakh, T. Ravsky, A. |
| author_facet | Banakh, T. Ravsky, A. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T18:22:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188550 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:22:32Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Zero-sum subsets of decomposable sets in Abelian groups Banakh, T. Ravsky, A. |
| title | 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_short | Zero-sum subsets of decomposable sets in Abelian groups |
| title_sort | zero-sum subsets of decomposable sets in abelian groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188550 |
| work_keys_str_mv | AT banakht zerosumsubsetsofdecomposablesetsinabeliangroups AT ravskya zerosumsubsetsofdecomposablesetsinabeliangroups |