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Commutativity of Almost F-algebras

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Abstract

Let A be an Archimedean vector lattice, let 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  ×  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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  1. Département de Mathématiques, Faculté des Sciences de Bizerte,  , 7021, Zarzouna, Bizerte, Tunisie

    Mohamed Ali Toumi

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  1. Mohamed Ali Toumi
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Correspondence to Mohamed Ali Toumi.

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Toumi, M.A. Commutativity of Almost F-algebras. Positivity 11, 357–368 (2007). https://doi.org/10.1007/s11117-005-0038-6

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  • DOI: https://doi.org/10.1007/s11117-005-0038-6

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