Under broad finiteness conditions, such as the existence of a greatest or least element, a semidistributive lattice has the two element lattice as a homomorphic image, and so, if it has more than two elements, is not simple. However, the existence of a simple, semidistributive lattice with more than two elements has remained in question. This paper constructs such a lattice.

中文翻译：

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一个简单的半分布格

在宽泛的有限性条件下，例如存在最大或最小元素，半分布格具有两个元素格作为同态图像，因此，如果它具有两个以上的元素，则不是简单的。然而，具有两个以上元素的简单半分布晶格的存在仍然存在疑问。本文构建了这样一个格子。