RT journal article T1 Irreducible numerical semigroups having Toms decomposition A1 Moreno Frías, María Ángeles A1 Nicola, J. A1 Pardo Espino, Enrique A2 Matemáticas AB 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. SN 0092-7872 YR 2007 FD 2007-01-01T00:00:00Z LK http://hdl.handle.net/10498/16088 UL http://hdl.handle.net/10498/16088 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026