A good semigroup of N^d is a submonoid of N^d which is closed under infimimus, have conductor, and satisfies a specific compatibility property on its elements. The definition of good semigroup arise from the properties of the value semigroups of a one dimensional analytically unramified ring; in fact, the semigroup of values of these rings, are all good semigroups, but the converse it is not always true. This fact motivated the study of good semigroups simply by seeing them as a generalization of the numerical semigroups of N, independently from their algebraic counterpart. In this thesis, I generalized in an appropriate way, many invariants, classes and properties of numerical semigroups to good semigroups with the purpose of preserving, where possible, the algebraic meaning of such objects, in case the semigroup is the value semigroup of a ring.
Good semigroups, Apéry set, embedding dimension, Wilf conjecture, Semigruppi buoni, Apéry set, dimensione di immersione, congettura di Wilf
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