ON MINIMAL ADDITIVE COMPLEMENTS

被引：0
|
作者：
Guo, Wanyan [1 ]
Min, Tang [1 ]
机构：
[1] Anhui Normal Univ, Sch Math & Stat, Wuhu 241002, Peoples R China
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2025年
基金：
中国国家自然科学基金;
关键词：
additive complements; minimal additive complements; eventually periodic set;
D O I：
10.1017/S0004972724001394
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：8
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