Some Centralizing Monoids on a Three-Element Set

被引：0

作者：

Machida, Hajime ^{[1
]}

Rosenberg, Ivo G. ^{[2
]}

机构：

[1] Int Christian Univ, Grad Sch Arts & Sci, Mitaka, Tokyo 1858585, Japan

[2] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada

来源：

JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING | 2012年 / 18卷 / 02期

关键词：

clone; centralizer; centralizing monoid;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

For an algebra A on a universe A the set of endomorphisms of A forms a monoid of selfmaps on A. We call such monoids centralizing monoids. In this paper we study the first interesting case of a 3-element set A. In the lattice of inclusion-ordered centralizing monoids we find three maximal centralizing monoids. This knowledge suggests that many large monoids are not centralizing monoids.

引用

页码：211 / 221

页数：11

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