Commutativity of Almost <Emphasis Type="Italic">F</Emphasis>-algebras |
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Authors: | Mohamed Ali Toumi |
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Institution: | (1) Département de Mathématiques, Faculté des Sciences de Bizerte, , 7021 Zarzouna, Bizerte, Tunisie |
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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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Keywords: | 06F25 47B65 |
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