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.
引用
收藏
页数：8
相关论文
共 50 条
  • [21] On Additive Complements with Special StructuresOn Additive Complements with Special StructuresMohan et al.
    Bhuwanesh Rao Mohan
    Ram Krishna Patil
    undefined Pandey
    Mediterranean Journal of Mathematics, 2025, 22 (3)
  • [22] On additive complements. III
    Fang, Jin-Hui
    Chen, Yong-Gao
    JOURNAL OF NUMBER THEORY, 2014, 141 : 83 - 91
  • [23] ON ADDITIVE COMPLEMENTS. II
    Chen, Yong-Gao
    Fang, Jin-Hui
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (03) : 881 - 883
  • [24] A report on additive complements of the squares
    Ramana, DS
    NUMBER THEORY AND DISCRETE MATHEMATICS, 2002, : 161 - 167
  • [25] On the additive hexagon numbers complements
    Li chao
    Yang Cundian
    Research on Smarandache Problems in Number Theory (Vol II), Proceedings, 2005, : 71 - 74
  • [26] On Additive Complements with Special Structures
    Mohan
    Patil, Bhuwanesh Rao
    Pandey, Ram Krishna
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2025, 22 (03)
  • [27] On additive complements. IV
    Chen, Yong-Gao
    Fang, Jin-Hui
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2020, 171
  • [28] On non-minimal complements
    Biswas, Arindam
    Saha, Jyoti Prakash
    ADVANCES IN APPLIED MATHEMATICS, 2021, 130
  • [29] Additive Complements with Narkiewicz's Condition
    Yong-Gao Chen
    Jin-Hui Fang
    Combinatorica, 2019, 39 : 813 - 823
  • [30] Additive Complements with Narkiewicz's Condition
    Chen, Yong-Gao
    Fang, Jin-Hui
    COMBINATORICA, 2019, 39 (04) : 813 - 823
12345