We prove the lattice freely generated by three distributive elements and the lattice freely generated by two distributive elements and one dually distributive element contain the free lattice of rank 3 as sublattice. We describe the lattice freely generated by two distributive elements and one both distributive and dually distributive element. It is infinite, but does not contain the free lattice of rank 3 as a sublattice.

中文翻译：

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关于三阶自由格在三个分布型元素自由生成的格中的嵌入

我们证明了由三个分布元自由生成的格和由两个分布元和一个对偶分布元自由生成的格包含秩为3的自由格作为子格。我们描述了由两个分配元素和一个既分配又双分配的元素自由生成的格子。它是无限的，但不包含作为子晶格的 3 阶自由晶格。