Resumo: The concept of Lipschitz saturation of an algebra was originally defined by Pham and Teissier in the context of complex analytic varieties and later extended by Lipman to algebras over an arbitrary ring R. In this talk, we will present recent results that generalize some of Lipman's results, and we will show how to calculate the Lipschitz saturation of the coordinate ring of complex monomial analytic curves in terms of the gaps of a certain numerical semigroup.