Fundamental gaps in numerical semigroups with respect to their multiplicity. (Q705098)

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scientific article; zbMATH DE number 2130970
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Fundamental gaps in numerical semigroups with respect to their multiplicity.
scientific article; zbMATH DE number 2130970

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    Fundamental gaps in numerical semigroups with respect to their multiplicity. (English)
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    25 January 2005
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    For a numerical semigroup the authors introduce the concept of a fundamental gap with respect to the multiplicity of the semigroup. The semigroup is fully determined by its multiplicity and these gaps. They study the case when a set of non-negative integers is the set of fundamental gaps with respect to the multiplicity of a numerical semigroup. Numerical semigroups with maximum and minimum number of the kind of gaps are described.
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    numerical semigroups
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    fundamental gaps
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    Frobenius numbers
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    multiplicities
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