典型的可数代数
The typical countable algebra
摘要：
我们认为，这是有意义的，讨论格的“典型”性质，然后表明，有，同构，一个唯一的可数格L*（有限格类的Fraisse极限），具有所有的“典型”性质。这些特性包括：L* 是简单的局部有限的，每个保序函数都可以用格多项式插值，每个有限格或可数局部有限格都嵌入到L* 中.同样的论点适用于其他类别的代数，假设它们有一个Fraisse极限，并满足有限嵌入性质。
英文摘要：
We argue that it makes sense to talk about ``typical'' properties of lattices, and then show that there is, up to isomorphism, a unique countable lattice L* (the Fraisse limit of the class of finite lattices) that has all ``typical'' properties. Among these properties are: L* is simple and locally finite, every order preserving function can be interpolated by a lattice polynomial, and every finite lattice or countable locally finite lattice embeds into L*. The same arguments apply to other classes of algebras assuming they have a Fraisse limit and satisfy the finite embeddability property.
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