巢湖学院学报 ›› 2021, Vol. 23 ›› Issue (6): 68-71.doi: 10.12152/j.issn.1672-2868.2021.06.009
• 数理科学 • 上一篇 下一篇
张晨光，孙广人：安庆师范大学 数理学院
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ZHANG Chen-guang，SUN Guang-ren：School of Mathematics and Physics, Anqing Normal University
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摘要： 对于正整数m，如果一个有限正整数集合在模m的每个同余类具有相等数量的元素，则称该集合是模m均匀分布的。文章主要研究的是在数字半群的重数为4的情况下，通过数字半群的定义及相关引理，证明得出当数字半群的间隙集是模m均匀分布时，m所满足的条件。
关键词: 数字半群, 间隙, 重数, 嵌入维数
Abstract: For a positive integer m, a finite set of integers is said to be evenly distributed modulo m if the set contains an equal number of elements in each congruence class modulo m. This paper mainly studies the condition of m when the multiplicity of numerical semigroup is 4, and through the definition of numerical semigroup and related lemmas, it is proved that m satisfies when the gap set of numerical semigroups is evenly distributed.
Key words: numerical semigroup, gap, multiplicity, embedding dimension
中图分类号:
张晨光, 孙广人. 数字半群间隙的均匀分布[J]. 巢湖学院学报, 2021, 23(6): 68-71.
ZHANG Chen-guang, SUN Guang-ren. Evenly Distributed Sets of Gaps of Numerical Semigroups[J]. Journal of Chaohu University, 2021, 23(6): 68-71.
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链接本文: http://xb.chu.edu.cn/CN/10.12152/j.issn.1672-2868.2021.06.009
http://xb.chu.edu.cn/CN/Y2021/V23/I6/68
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