Horizontal sums of effect algebras and the uniqueness of sequential products
Cao Huai-xin · Journal of Northwest University · 2007
Aim To introduce the logical definition of the horizontal sum of effect algebras and study the uniqueness of sequential products on effect algebra.Methods Using the definition of effect algebra,sequential effect algebra and the polar decomposition of operator.Results There exists an infinite number of sequential products on the horizontal sum HS(e(H),) of the Hilbert space effect algebra e(H) and .Conclusion An effect algebra admits an infinite number of sequential products.As a special effect algebra,orthoalgebra can be decomposed to the horizontal sum of sub-effect algebra.