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On Absolute Valued Algebras Containing a Central Algebraic Element

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  • Abdelhadi Moutassim

    (Centre Régional des Métier de l’Education et de la Formation, Casablanca-Settat Annexe Provinciale Settat, Morocco)

Abstract

Let be an absolute valued algebra containing a nonzero central algebraic element. Then is a pre-Hilbert algebra and is finite dimensional in the following cases: 1) A satisfies (x, x, x)=0. 2) A satisfies (x2, x2 , x2 )=0. 3) A satisfies (x, x2, x)=0. In these cases is isomorphic to or . It may be conjectured that every absolute valued algebra containing a nonzero central element is pre-Hilbert algebra.

Suggested Citation

  • Abdelhadi Moutassim, 2023. "On Absolute Valued Algebras Containing a Central Algebraic Element," Journal of Mathematics and Statistics Studies, Al-Kindi Center for Research and Development., vol. 4(2), pages 38-42, April.
    • Handle: RePEc:alk:jmss00:v:4:y:2023:i:2:id:5111
    DOI: 10.32996/jmss.2023.4.2.4
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