For a numerical semigroup,we 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. We study the case when a ...For a numerical semigroup,we 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. We 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 this kind of gaps are described.展开更多
文摘For a numerical semigroup,we 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. We 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 this kind of gaps are described.
