Irreducible numerical semigroups having Toms decomposition

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URI: http://hdl.handle.net/10498/16088

DOI: 10.1080/00927870601052505

ISSN: 0092-7872

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Author/s
Moreno, M.A.; Nicola, J.; Pardo Espino, EnriqueAuthority UCA
Date
2007-01-01
Department
Matemáticas
Source
Communications in Algebra 35(1) (2007), 1-13
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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