%0 Journal Article %A Moreno Frías, María Ángeles %A Nicola, J. %A Pardo Espino, Enrique %T Irreducible numerical semigroups having Toms decomposition %D 2007 %@ 0092-7872 %U http://hdl.handle.net/10498/16088 %X 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. %~ Universidad de Cádiz