Irreducible Numerical Semigroups Having Toms Decomposition |
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| Authors: | M. A. Moreno J. Nicola |
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| Affiliation: | 1. Department of Mathematics , University of Cádiz , Puerto Real (Cádiz), Spain;2. Department of Mathematics , University of Geneva , Geneva, Switzerland |
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| Abstract: | In this article we prove that if S is an irreducible numerical semigroup and S is generated by an interval or S has multiplicity 3 or 4, then it enjoys Toms decomposition. We also prove that if a numerical semigroup can be expressed as an expansion of a numerical semigroup generated by an interval, then it is irreducible and has Toms decomposition. |
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| Keywords: | Numerical semigroup Toms decomposition |
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