Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SYMMETRIES OF SOME NUMERICAL SEMIGROUPS

  • Published : 2004.01.01

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Abstract

Let $S_{i}$ be the numerical semigroup generated by the set ${a,\;a{\;}+{\;}d,{\cdots},\;a+(i{\;}-{\;}l)d,\;a+(i{\;}+{\;}l)d,{\cdots},{\;}a{\;}+{\;}rd}$. In this paper, we will formulate the number of nonmembers of each set $S_{i}$ and find the if and only if conditions under which $S_1$ and $S_{r-1}$ are symmetric.

Keywords

References

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