English

Stochastic independence for probability MV-algebras

Logic 2016-07-28 v1

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 H\"older's inequality and Hausdorff moment problem for MV-algebras with product and we propose a solution for the stochastic independence of probability MV-algebras.

Cite

@article{arxiv.1410.5658,
  title  = {Stochastic independence for probability MV-algebras},
  author = {Serafina Lapenta and Ioana Leustean},
  journal= {arXiv preprint arXiv:1410.5658},
  year   = {2016}
}
R2 v1 2026-06-22T06:31:07.929Z