| Fundamental Gaps in Numerical Semigroups with Respect to Their Multiplicity |
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| 引用本文： | J.C.ROSALES,P.A.GARCíA-SNCHEZ,J.I.GARCíA-GARCíA,J.A.JIMNEZ MADRID. Fundamental Gaps in Numerical Semigroups with Respect to Their Multiplicity[J]. 应用数学学报(英文版), 2004, 0(4) |
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| 作者姓名： | J.C.ROSALES P.A.GARCíA-SNCHEZ J.I.GARCíA-GARCíA J.A.JIMNEZ MADRID |
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| 作者单位： | Departamento de lgebra Universidad de Granada，E-18071 Granada，Spain，Departamento de lgebra，Universidad de Granada，E-18071 Granada，Spain，Departamento de lgebra，Universidad de Granada，E-18071 Granada，Spain，Instituto de Astrofísica de Andalucía (CSIC)，Apartado Postal 3004，18080 Granada，Spain |
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| 基金项目： | This paper is supported by the project BFM2000-1469 |
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| 摘 要： | For a numerical semigroup, we introduce the concept of a fundamental gap with respect tothe multiplicity of the semigroup.The semigroup is fully determined by its multiplicity and these gaps.We study the case when a set of non-negative integers is the set of fundamental gaps with respect to themultiplicity of a numerical semigroup.Numerical semigroups with maximum and mininmm number ofthis kind of gaps are described.
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Fundamental Gaps in Numerical Semigroups with Respect to Their Multiplicity |
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| Abstract: | For a numerical semigroup, we introduce the concept of a fundamental gap with respect tothe multiplicity of the semigroup.The semigroup is fully determined by its multiplicity and these gaps.We study the case when a set of non-negative integers is the set of fundamental gaps with respect to themultiplicity of a numerical semigroup.Numerical semigroups with maximum and mininmm number ofthis kind of gaps are described. |
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| Keywords: | Numerical semigroup Gap Multiplicity Frobenius number |
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