Exceptional 0-Alia algebras |
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| Authors: | A S Dzhumadil’daev K M Tulenbaev |
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| Institution: | (1) Kazakh-British Technical University, Almaty, Kazakhstan;(2) S. Demirel University, Almaty, Kazakhstan |
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| Abstract: | Analgebra (A, ∘) with the identity a, b]∘c + b, c]∘a + c, a]∘b = 0, where a, b] = a∘b−b∘a, is called 0-Alia. We prove that the algebra (ℂx], ∘) with multiplication a ∘ b = ∂2(2a∂(b)+∂(a)b) is a simple, exceptional 0-Alia algebra.
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 60, Algebra,
2008. |
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