论文标题
关于有限格子和半层次的中央位置
On centralizers of finite lattices and semilattices
论文作者
论文摘要
我们研究有限晶格和半层次的中央器克隆。对于半层次，我们给出了两个centralizer的特征，并为中央框中给定的基本差异的操作数量提供了公式。我们还表征了分布晶格的中心剂克隆中的操作，我们证明了Centralizer在每个有限（可能是非分布）晶格中的操作的基本作用。使用这些结果，我们为布尔函数的克隆中心化提供了一个简单的推导。
We study centralizer clones of finite lattices and semilattices. For semilattices, we give two characterizations of the centralizer and also derive formulas for the number of operations of a given essential arity in the centralizer. We also characterize operations in the centralizer clone of a distributive lattice, and we prove that the essential arity of operations in the centralizer is bounded for every finite (possibly nondistributive) lattice. Using these results, we present a simple derivation for the centralizers of clones of Boolean functions.
