Abstract
Let A be an Archimedean vector lattice, let Open image in new window be its Dedekind completion and let B be a Dedekind complete vector lattice. If Ψ 0:A × A→ B is a positive orthosymmetric bimorphism, then there exists a positive bimorphism extension Ψ of Ψ 0 to Open image in new window × Open image in new window in B which is orthosymmetric. This leads to a new and short proof of the commutativity of the almost f-algebras multiplications.
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