Browsing by Author "Kudaibergen Y."

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    JORDAN ELEMENTS IN ASSOSYMMETRIC ALGEBRAS
    (faculty of engineering and natural sciences, 2022) Kudaibergen Y.
    We consider Jordan brackets in a free assosymmetric algebra. We investigate expansions of left-normed Jordan brackets in free assosymmetric algebra and give a conjecture. In general, we show the proposition and some examples then the proof. For associative algebras P.M. Cohn gave a criterion for Jordanian elements generated by three elements, but we further advanced to assosymetrical algebras not with three elements, but with four, and we showed five elements, but we have the degree and the elements are equal. In general, we have shown a special case, but in the end, there are assumptions that it can work on any dimension n.