2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139874The present material addresses several problems left open in the Trans. AMS paper " Non-crossing cumulants of type B" of P. Biane, F. Goodman and A. Nica. The main result is that a type B non-commutative probability space can be studied in the framework of freeness with amalgamation. This view allows easy ways of constructing a version of the S-transform as well as proving analogue results to Central Limit Theorem and Poisson Limit Theorem.Operator AlgebrasCombinatorics46L54; 05A15text