Fundamental Gaps in Numerical Semigroups with Respect to Their Multiplicity

作     者：J.C.ROSALES P.A.GARCíA-SNCHEZ J.I.GARCíA-GARCíA J.A.JIMNEZ MADRID 

作者机构：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 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报(英文版))

年 卷 期：2004年第4期

页      面：629-646页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This paper is supported by the project BFM2000-1469 

主　　题：Numerical semigroup Gap Multiplicity Frobenius number 

摘      要：For a numerical semigroup, we introduce the concept of a fundamental gap with respect tothe multiplicity of the *** semigroup is fully determined by its multiplicity and these *** study the case when a set of non-negative integers is the set of fundamental gaps with respect to themultiplicity of a numerical *** semigroups with maximum and mininmm number ofthis kind of gaps are described.