Abstract

We construct a non-Moufang variety of Steiner loops H such that every loop from H satisfies Moufang’s theorem. This example solves Rajah’s problem on the existence of such varieties.

中文翻译：

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满足牟方定理的非牟氏Steiner环

摘要

我们构造了一个非穆方各种施泰纳的环^ h，使得从每一个循环^ h满足穆方定理。这个例子解决了拉贾（Rajah）关于此类变体存在的问题。