关于二元幂等函数的三元集上一元群的中心化

2016 IEEE 46th International Symposium on Multiple-Valued Logic (ISMVL) Pub Date : 2016-05-18 DOI:10.1109/ISMVL.2016.32

Hajime Machida, I. Rosenberg

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引用次数: 4

摘要

一个集中一元群M是一个一元函数的集合，它与多变量函数的集合F中的所有成员交换。本文研究了以二元幂等函数集为见证者的三元集上的一元群的中心化问题。结果表明，这类集中一元群的数目为67个。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Centralizing Monoids on a Three-Element Set Related to Binary Idempotent Functions

A centralizing monoid M is a set of unary functions which commute with all members of some set F of multi-variable functions. The set F is called a witness of M. In this paper, we study centralizing monoids on a three-element set which have sets of binary idempotent functions as their witnesses. It is shown that the number of such centralizing monoids is 67.

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2016 IEEE 46th International Symposium on Multiple-Valued Logic (ISMVL)

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