DocumentCode
2298191
Title
Centralizing Monoids on a Three-Element Set
Author
Machida, Hajime ; Rosenberg, Ivo G.
Author_Institution
Grad. Sch. of Arts & Sci., Int. Christian Univ., Mitaka, Japan
fYear
2012
fDate
14-16 May 2012
Firstpage
274
Lastpage
280
Abstract
Let A be a finite set with |A|>; 1. A centralizing monoid on A is a set of unary functions defined on A which commute with some set of (multi-variable) functions on A. In this paper we consider the case where A is a three-element set. Using the concept of a witness and Kuznetsov criterion, we determine all centralizing monoids on a three-element set. There are 192 centralizing monoids, which are divided into 48 conjugate classes.
Keywords
group theory; multivalued logic; Kuznetsov criterion; centralizing monoids; conjugate class; finite set; multivariable function; three-element set; unary function; Abstracts; Algebra; Art; Cloning; Educational institutions; Equations; Frequency modulation; centralizer; centralizing monoid; clone;
fLanguage
English
Publisher
ieee
Conference_Titel
Multiple-Valued Logic (ISMVL), 2012 42nd IEEE International Symposium on
Conference_Location
Victoria, BC
ISSN
0195-623X
Print_ISBN
978-1-4673-0908-0
Type
conf
DOI
10.1109/ISMVL.2012.50
Filename
6214821
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