Stochastic independence for probability MV-algebras
arXiv:1410.5658 · doi:10.1016/j.fss.2015.08.008
Abstract
We prove that any MV-algebra has a faithful state can be embedded in an \em{f}MV-algebra of integrable functions. As consequence, we prove Hölder's inequality and Hausdorff moment problem for MV-algebras with product and we propose a solution for the stochastic independence of probability MV-algebras.