The Wedderburn Principal Theorem for Generalized Almost-Jordan Algebras |
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| Authors: | Manuel Arenas |
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| Institution: | 1. Faculty of Science, Department of Mathematics , University of Chile , Santiago, Chile mcarenascl@yahoo.com |
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| Abstract: | We study commutative algebras A over fields of characteristic ≠2, 3 which satisfy the identity β{x(y(xx)) ? x(x(xy))} + γ{y(x(xx)) ? x(x(xy))} = 0. We do not assume power-associativity. We find the Peirce decomposition of these algebras. We prove the existence of a Wedderburn decomposition under some additional conditions. |
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| Keywords: | Almost-Jordan Idempotent element Jordan Nilpotent Peirce decomposition Solvable Weddernburn decomposition |
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