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- W2742362016 abstract "Let $C, W subseteq mathbb{Z}$. If $C + W = mathbb{Z}$, then the set $C$ is called an additive complement to $W$ in $mathbb{Z}$. If no proper subset of $C$ is an additive complement to $W$, then $C$ is called a minimal additive complement. We provide a partial answer to a question posed by Kiss, Sandor, and Yang regarding the minimal additive complement of sets of the form $W = (n mathbb{N} + A) cup F cup G$, where $|F|<infty, (F mod{n}) subseteq (A mod{n})$ and $(G mod{n}) cap (A mod{n}) = emptyset$. We also introduce the dual problem of characterizing sets that arise as the minimal additive complements of some set of integers, proving the analog of Nathanson's initial result on existence of minimal additive complements." @default.
- W2742362016 created "2017-08-17" @default.
- W2742362016 creator A5024324732 @default.
- W2742362016 date "2017-08-03" @default.
- W2742362016 modified "2023-09-27" @default.
- W2742362016 title "A Note on Minimal Additive Complements" @default.
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