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Sum-full sets are not zero-sum-free
- Source :
- Linear Algebra and its Applications. 625:241-247
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- Let $A$ be a finite, nonempty subset of an abelian group. We show that if every element of $A$ is a sum of two other elements, then $A$ has a nonempty zero-sum subset. That is, a (finite, nonempty) sum-full subset of an abelian group is not zero-sum-free.<br />Slightly revised version
- Subjects :
- Numerical Analysis
11B30, 15A06
Algebra and Number Theory
Mathematics - Number Theory
Zero (complex analysis)
Combinatorics
FOS: Mathematics
Mathematics - Combinatorics
Discrete Mathematics and Combinatorics
Number Theory (math.NT)
Combinatorics (math.CO)
Geometry and Topology
Element (category theory)
Abelian group
Mathematics
Subjects
Details
- ISSN :
- 00243795
- Volume :
- 625
- Database :
- OpenAIRE
- Journal :
- Linear Algebra and its Applications
- Accession number :
- edsair.doi.dedup.....18ac92b1bb322ada75d66dd4a52a4904