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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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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
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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