有限生成的极大部分克隆及其交点

2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2009-10-30 DOI:10.1109/ISMVL.2010.31

Miguel Couceiro, L. Haddad

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引用次数: 3

摘要

设$A$是一个有限非单元素集合。对于$|A|=2$，我们证明了$A$上由所有自对偶单调偏函数组成的部分克隆不是有限生成的，而它是$A$上两个有限生成的极大部分克隆的交集。此外，对于$|A| \ge 3$，我们证明了存在一对有限生成的极大部分克隆，它们的交集是$A$上的非有限生成的部分克隆。

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Finitely Generated Maximal Partial Clones and Their Intersections

Let $A$ be a finite non-singleton set. For $|A|=2$ we show that the partial clone consisting of all self-dual monotonic partial functions on $A$ is not finitely generated, while it is the intersection of two finitely generated maximal partial clones on $A$. Moreover, for $|A| \ge 3$ we show that there are pairs of finitely generated maximal partial clones whose intersection is a not finitely generated partial clone on $A$.

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2010 40th IEEE International Symposium on Multiple-Valued Logic

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