Fundamental Gaps in Numerical Semigroups with Respect to Their Multiplicity

Autor:	Pedro A. García-Sánchez, José Carlos Rosales, Juan Ignacio García-García, J. A. Jiménez Madrid
Rok vydání:	2004
Předmět:	Discrete mathematics Mathematics::Operator Algebras Semigroup Applied Mathematics General Mathematics Numerical semigroup Multiplicity (mathematics) Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 20:629-646
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-003-0298-7
Popis:	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.
Databáze:	OpenAIRE
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