Right alternative algebras and Wedderburn principal theorem

Thedy, Armin

doi:10.1090/S0002-9939-1978-0509228-1

Right alternative algebras and Wedderburn principal theorem
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Proc. Amer. Math. Soc. 72 (1978), 427-435 Request permission

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.

References

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Wedderburn’s theorem on detachment of the radical for

algebras

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