三元集合上的几类集中一元群

2015 IEEE International Symposium on Multiple-Valued Logic Pub Date : 2015-05-18 DOI:10.1109/ISMVL.2015.29

M. Goldstern, Hajime Machida, I. Rosenberg

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引用次数: 7

摘要

在非空集合a上定义了多变量函数的交换，一个集中的月M是一个一元函数的集合，它与多变量函数的某个集合F中的所有成员交换。在这种情况下，我们称F为m的见证者。在本文中，我们考虑了a是一个三元集的情况，并确定了所有具有三元多数函数或三元半投影的集中单调作为它们的见证者。

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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Some Classes of Centralizing Monoids on a Three-Element Set

Commutation is defined for multi-variable functions on a non-empty set A. A centralizing mooned M is a set of unary functions which commute with all members of some set F of multi-variable functions. In such a case, we call F a witness of M. In this paper, we consider the case where A is a three-element set and determine all centralizing monodies which have ternary majority functions or ternary semi projections as their witnesses.

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2015 IEEE International Symposium on Multiple-Valued Logic

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