Abstract It is proved that every unital right alternative bimodule over a Cayley algebra (over an algebraically closed field of characteristic not 2) is alternative. Using this result, a coordinatization theorem is proved for unital right alternative algebras containing a Cayley subalgebra with the same unit. In particular, any such an algebra is alternative.

中文翻译：

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Cayley 代数和协调定理上的正确替代双模

摘要 证明了在凯莱代数上（在特征非 2 ​​的代数闭域上）的每一个单位右备择双模都是备择的。使用该结果，证明了包含具有相同单位的凯莱子代数的单位右备代数的协调定理。特别是，任何这样的代数都是可选的。