A simple right-alternative, but not alternative, superalgebra whose even part coincides with an algebra of second-order matrices is called an asymmetric double. It is known that such superalgebras are eight-dimensional. We give a solution to the isomorphism problem for asymmetric doubles, point out their automorphism groups and derivation superalgebras.

中文翻译：

---

简单的非对称双精度，它们的自同构和推导

其偶数部分与二阶矩阵的代数重合的简单的右替代但不是替代的超代数称为非对称双。众所周知，这种超代数是八维的。我们给出了非对称双精度同构问题的一个解决方案，指出了它们的自同构群和推导超代数。