关于仿射完全分配格的注记
Remarks on affine complete distributive lattices
摘要：
我们构造了仿射完备有界分配格所对应的Priestley空间。证明了仿射完全有界分配格类在乘积和自由积下是闭的。我们证明了每个分配格（不一定有界）都可以嵌入仿射完备格，并且$\mathbb{Q} \cap [0,1]$是仿射完全格类中的初始格。
英文摘要：
We characterise the Priestley spaces corresponding to affine complete bounded distributive lattices. Moreover we prove that the class of affine complete bounded distributive lattices is closed under products and free products. We show that every (not necessarily bounded) distributive lattice can be embedded in an affine complete one and that $\mathbb{Q} \cap [0,1]$ is initial in the class of affine complete lattices.
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