Estudio de invariantes en la teoría de factorización para monoides cancelativos y finitamente generados

Résumé

During the development of this work we have studied numerical and affine semigroups. First we have started working on numerical semigroups and then we have generalized the structure to affine semigroups. We have studied the latter as independent identities and have transferred some properties and conjectures that we had already studied in the numerical case to the affine case. Among the factorization invariats which have been studied we highlight the set of lenghts and the Delta-set.