We look at the structure of a unital right alternative superalgebra of capacity 1 over an algebraically closed field assuming that its even part is finite-dimensional and strongly alternative. It is proved that the condition of being simple for such a superalgebra implies the simplicity of its even part.

中文翻译：

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具有强交替偶数部分的容量 1 的右交替超代数

我们在代数闭域上观察容量为 1 的单位右替代超代数的结构，假设它的偶数部分是有限维的和强替代的。证明了这种超代数的简单条件意味着其偶数部分的简单性。