We give a formula for the Frobenius vector of a free affine simplicial semigroup. This generalizes to the affine case a well known formula for free numerical semigroups
Abdallah Assi. The Frobenius Vector of a Free Affine Semigroup. Journal of Algebra and Its Applications, World Scientific Publishing, 2012, 11 (04), pp.10. ⟨10.1142/S021949881250065X⟩. ⟨hal-03031607⟩