Tensor Products of Probability MV-algebras
An important construction in the classical probability theory is the free product of Boolean algebras with probabilities [2, 7]. Its MV-algebraic correspondent is the tensor product of probability MV-algebras, defined in this paper for algebras with finite additive states. The construction is firstly analyzed for two structures and it is extended to arbitrary families.
Keywords: MV-algebra, state, tensor product, probability MV-algebra.
MSC 2000: 06D35, 46M05