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.
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页码：211 / 221
页数：11
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