Abstract

A Bell-type inequality is defined as an inequality of the type 0⩽L⩽1,where L is a linear combination with real coefficients of probabilities p i and joint probabilities p ij ,p ijk ,...,p l ,...,n corresponding to n events. A general theorem on the validity of such inequalities in correspondence to physical assumptions about commutativity or noncommutativity is given. Examples and possible physical applications are discussed