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首页> 外文期刊>Journal of algebra and its applications >A note on absolute-valued algebras satisfying (xx(2))x = x(x(2)x)
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A note on absolute-valued algebras satisfying (xx(2))x = x(x(2)x)

机译:A note on absolute-valued algebras satisfying (xx(2))x = x(x(2)x)

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摘要

We study the absolute-valued algebras A satisfying the identity (xx(2))x = x(x(2)x). We show that, if moreover, the norm of A comes from an inner product and A contains a nonzero central element then A is finite dimensional and isomorphic to either R, C, C*, H, H *, O, or O*.

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