The Composition Structure of Alternative and Malcev Algebras |
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| Authors: | Sergei Sverchkov |
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| Institution: | 1. Russian Presidential Academy of National Economy and Public Administration , Siberian Branch , Novosibirsk , Russia sverchkovsr@yandex.ru |
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| Abstract: | We construct a polynomial of degree 5 from the associative nucleus (kernel) of the free alternative algebra. We show that this polynomial is of minimal degree. Using this polynomial, we obtain decompositions of the varieties of alternative and Malcev algebras. |
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| Keywords: | The varieties of alternative and Malcev algebras |
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