The Wedderburn principal theorem for generalized almost-Jordan algebras
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Arenas, Manuel
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The Wedderburn principal theorem for generalized almost-Jordan algebras
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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. Copyright © Taylor & Francis Group, LLC.
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URI: https://repositorio.uchile.cl/handle/2250/157073
DOI: 10.1080/00927870601074905
ISSN: 00927872
15324125
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Communications in Algebra, Volumen 35, Issue 2, 2018, Pages 675-688
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