ON MINIMAL ADDITIVE COMPLEMENTS

Abstract Let C and W be two integer sets. If $C+W=\mathbb {Z}$ , then we say that C is an additive complement to W . If no proper subset of C is an additive complement to W , then we say that C is a minimal additive complement to W . We study the existence of a minimal additive complement to $W=\{w_i\}_{i=1}^{\infty}$ when W is not eventually periodic and $w_{i+1}-w_{i}\in \{2,3\}$ for all i .

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2025-02-10
DOI
https://doi.org/10.1017/s0004972724001394
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

ON MINIMAL ADDITIVE COMPLEMENTS

Min Tang, GUO WANYAN
Bulletin of the Australian Mathematical Society
Computability, Logic, AI Algorithms
article

ON MINIMAL ADDITIVE COMPLEMENTS

Min Tang, GUO WANYAN
article en

Abstract

Abstract Let C and W be two integer sets. If $C+W=\mathbb {Z}$ , then we say that C is an additive complement to W . If no proper subset of C is an additive complement to W , then we say that C is a minimal additive complement to W . We study the existence of a minimal additive complement to $W=\{w_i\}_{i=1}^{\infty}$ when W is not eventually periodic and $w_{i+1}-w_{i}\in \{2,3\}$ for all i .

Bulletin of the Australian Mathematical SocietyVol. 112(3)
Anhui Normal University (CN)
Openalex Percentile: Top 97%
Computability, Logic, AI Algorithms
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ON MINIMAL ADDITIVE COMPLEMENTS — Min Tang, GUO WANYAN · Bulletin of the Australian Mathematical Society (2025) | TGRS Research Map | TGRS