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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Right alternative algebras and Wedderburn principal theorem


Author: Armin Thedy
Journal: Proc. Amer. Math. Soc. 72 (1978), 427-435
MSC: Primary 17A30; Secondary 17C10
DOI: https://doi.org/10.1090/S0002-9939-1978-0509228-1
MathSciNet review: 509228
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Abstract: Examples are given of right alternative algebras and of quadratic Jordan algebras (the latter only over fields of characteristic two) without a Wedderburn splitting but such that at least one u-isotope admits a Wedderburn splitting. An example of a noncommutative Jordan algebra over a field of characteristic $ \ne 2$ is given such that no u-isotope admits a Wedderburn splitting.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0509228-1
Keywords: Wedderburn Principal Theorem, Albert-Penico-Taft Theorem, right alternative algebras, quadratic Jordan algebras, noncommutative Jordan algebras, u-isotope
Article copyright: © Copyright 1978 American Mathematical Society