组合问题与数值半群

IF 0.6 3区 数学 Q3 MATHEMATICS
Aureliano M. Robles Pérez, José Carlos Rosales
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引用次数: 2

摘要

本文章由计算机程序翻译,如有差异,请以英文原文为准。
A combinatorial problem and numerical semigroups
Let a  = ( a 1 , …,  a n ) and b  = ( b 1 , …,  b n ) be two n -tuples of positive integers, let X be a set of positive integers, and let g be a positive integer. In this work we show an algorithmic process in order to compute all the sets C of positive integers that fulfill the following conditions: The cardinality of C is equal to g ; If x ,  y  ∈ ℕ \ {0} and x  +  y  ∈  C , then C  ∩ { x ,  y } ≠ ∅ ; If x  ∈  C and ( x  −  b i ) / a i  ∈ ℕ \ {0} for some i  ∈ {1, …,  n } , then ( x  −  b i ) / a i  ∈  C ; X  ∩  C  = ∅ .
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来源期刊
Ars Mathematica Contemporanea
Ars Mathematica Contemporanea MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
1.70
自引率
0.00%
发文量
45
审稿时长
>12 weeks
期刊介绍: Ars mathematica contemporanea will publish high-quality articles in contemporary mathematics that arise from the discrete and concrete mathematics paradigm. It will favor themes that combine at least two different fields of mathematics. In particular, we welcome papers intersecting discrete mathematics with other branches of mathematics, such as algebra, geometry, topology, theoretical computer science, and combinatorics. The name of the journal was chosen carefully. Symmetry is certainly a theme that is quite welcome to the journal, as it is through symmetry that mathematics comes closest to art.
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